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Angle Worksheets: Add Insight to Your Preparation

This far-from-exhaustive list of angle worksheets is pivotal in math curriculum. Whether it is basic concepts like naming angles, identifying the parts of an angle, classifying angles, measuring angles using a protractor, or be it advanced like complementary and supplementary angles, angles formed between intersecting lines, or angles formed in 2D shapes we have them all covered for students in grade 4 through high school. Application seals concepts in the minds of children, and hence adding a little challenge into the routine in the form of free worksheets is definitely not a bad idea.

List of Angle Worksheets

Parts of an Angle

Naming Angles

Acute, Right, and Obtuse Angles

Classifying Angles

Reading Protractors

Measuring Angles

Drawing Angles

Estimating Angles

Angles on a Straight Line

Angles Around a Point

• Complementary & Supplementary Angles

Adjacent Angles

Vertical Angles

Linear Pairs of Angles

Pairs of Angles

Angles Formed by a Transversal

Angles in Shapes

Explore the angle worksheets in detail.

How about some practice in identifying the vertex and arms of an angle? Get ahead of the pack with these parts of an angle pdfs and practice identifying and naming the vertex and arms of an angle.

Are you aware of the four ways of naming angles? Buckle up with these printable worksheets, and watch how accurately and effortlessly children name angles using the three points.

Spark interest and encourage children to identify acute, right, and obtuse angles with a bunch of fun-filled exercises like recognizing angles in a clock, angle types in real-life objects, and a lot more!

Become twice as conversant with identifying, classifying, and drawing all six types of angles: acute, right, obtuse, straight, reflex, and complete angles with this collection of pdfs.

Use the protractor tool like a pro to measure and draw angles. Printable protractor templates, a chart illustrating the parts and use of the tool, and protractor reading exercises await students in elementary school.

Reading the correct scale of the protractor to measure angles: the inner or outer scale, measuring and classifying angles, and solving linear equations are the skills grade 4 and grade 5 students acquire with these exercises.

Show your students how to construct angles using a protractor with these drawing angle pdfs. The exercises include constructing angles with 1° increments or 5°, drawing reflex angles, and more.

Expert-level skills aren’t built in a day, to acquire superior skills in estimating angles 4th grade and 5th grade children need to bolster practice with our printable estimating angles worksheets.

Work your way through this compilation of worksheets and examine the angles on a straight line that add up to 180°. Grade 4 and grade 5 students find the measures of the unknown angles by subtracting the given angles from 180°.

Did you know that the angles around a point add up to 360°? Keep this fact in mind as you figure out the measures of the unknown angles by adding the given angles and subtracting the sum from 360°.

Complementary and Supplementary Angles

If it's a pair of angles you see and are trying to figure out if they make a complementary or supplementary pair, the trick is just adding them up and if their sum is 90° they are complementary and if it is 180° they are supplementary. These worksheets are a sure-shot hit with 6th grade and 7th grade learners.

Explore this bunch of printable adjacent angles worksheets to get a vivid picture of the angle addition property exhibited by angles that share the same vertex and are next to each other.

Linked here are exercises on angles formed by intersecting lines! Know the congruent properties of vertical angles or vertically opposite angles and apply them to determine unknown angle measures.

Two angles that are both adjacent and supplementary are a linear pair. The measure of such a pair sum up to 180°. Get to the heart of such angle pairs with these pdf worksheets and solve equations for the unknown angle measures.

Tap your grade 7, and grade 8 student’s potential in identifying the different pairs of angles such as complementary and supplementary angles, linear pair, vertical angles and much more with our engaging set of worksheets.

Construct additional and experiential knowledge with these 8th grade and high school handouts to comprehend the seven types of angle pairs formed by a transversal that include corresponding angles, alternate angles, and consecutive angles.

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Missing Angles Practice Questions

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Find the Missing Angle Worksheets

How to Find the Measure of Angles of a Triangle When You Know the Length of the Sides - More often students are confused when they are finding unknown values of a triangle. For instance, finding the angles when all the sides are given. Well, the case is that you must be able to know the formulas and then just put the values at their respective places and there is no double you are going to get the values you are looking for. However, there are certain steps that are involved which are as follows. If you have a three-sided polygon (a triangle) and you know the side lengths, then the figure is rigid and it should be possible to find the angles. If you have a polygon with more than three sides and you know the side lengths, then the figure is not rigid, and the angles can vary. The relationship you are looking for is called the Law of Cosines. I can show you a proof at least for an acute triangle. If the triangle is not acute you have to modify my proof slightly. You also need to break the triangle into two right angled triangles to help you get the procedure using Pythagoras theorem.

Basic Lesson

Guides students solving equations that involve an Find the Missing Angles. Demonstrates answer checking.

Intermediate Lesson

Demonstrates how to solve more difficult problems.

Independent Practice 1

A really great activity for allowing students to understand the concept of Find the Missing Angles.

Independent Practice 2

Students find the Find the Missing Angles in assorted problems. The answers can be found below.

Homework Worksheet

Students are provided with problems to achieve the concepts of Find the Missing Angles.

This tests the students ability to evaluate Find the Missing Angles.

Answers for math worksheets, quiz, homework, and lessons.

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Triangle Missing Angle Worksheets

There are so many different ways to find the measure of a missing angle within a triangle. It all comes down to taking a step back from where you are and seeing everything that is already known. If you have enough information, great you have your answer. If you do not have your answer, ask yourself what other measures can when determine based on what we were given. Calculate every measure you can and then go back and ponder your original problem. That is literally the way to progress through almost all geometry and trigonometry problems when the answer is not staring you in the face. These worksheets and lessons help students learn to find missing angles through the use of trigonometric functions and formulas.

Aligned Standard: HSG-SRT.D.11

• Distance Formula Step-by-Step Lesson - We use Cosine to find the missing value here. Go over all the use SOH-CAH-TOA.
• Guided Lesson - Lots of missing parts on these right triangles. Find them ASAP!
• Guided Lesson Explanation - The way the problems are setup, it really doesn't take much to solve them.
• Practice Worksheet - A nice series of rapid fire questions for you on the topic here.
• Matching Worksheet - Match the missing values to problems. Seems easy, until you realize some values are very close.
• Find the Missing Angle Worksheet Five Pack - This is the real deal, as far as trig goes.
• Types of Angles Worksheet Five Pack - Use all of your knowledge of angle trigonometry to solve these little scavenger hunts; if you will.
• Answer Keys - These are for all the unlocked materials above.

Homework Sheets

Find the missing values to make these answers correct.

• Homework 1 - Find the missing angle when you are given the following dimensions. BC = 6 ; AC = 12 ; Cos ____ = 6 / 12
• Homework 2 - You should start by evaluating what is missing in the system and go from there.
• Homework 3 - Which function best fits that angle?

Practice Worksheets

Work with the dimensions to find all the missing pieces.

• Practice 1 - Note the points of the triangle before you make your assumption.
• Practice 2 - Don't get lost in your angles.
• Practice 3 - Where are things breaking down here.

Math Skill Quizzes

See what strategies you use to find everything that is missing and lost.

• Quiz 1 - Two complementary angles measure y and 45°. How many degrees are there in y?
• Quiz 2 - Two vertical angles measure 5x and 150°. How many degrees are there in x?
• Quiz 3 - See if you can find those angles.

How to Find Missing Angles Using Trigonometry

Triangles are one of my absolute favorite geometric shapes because you do not need much information to understand just about every feature found within it. We use different formulas to find out the missing sides or angles of a triangle. However, there are other easier mathematical approaches to solve a triangle. For instance, we know that the sum of a triangle is equal to 180 degrees. And in case you have a right-angle triangle, you know that one of the angles is 90 degrees. That means the sum of the remaining two angles has to be 90 degrees. With such information, you can easily calculate the missing angles.

A triangle consists of three sides. Normally those sides are labelled based on the angles that are formed at each of the vertices (where the sides meet). These letters represent the measure of the interior angles that are formed. But how do you find the missing angles without this information? The simplest answer is to use the other properties of the triangle. For example, using the sides of the triangle. The lengths of sides of a triangle are related to the magnitudes of the angles. We can also incorporate trigonometric ratios to calculate the missing angles of a triangle.

In the case of right triangles, where one of the interior angles is that good old perpendicular angle each side gets a specific name based on how it positioned. The side opposite the right angle is called the hypotenuse, the other two sides are often referred to as legs. These legs will have specific names when we begin to attempt to find the measures of missing angles. If a leg is directly opposite an missing angle of our interest, we refer to that side as opposite. This makes the other leg called the adjacent side, because it is located in an adjacent manner to the angle of interest.

When choosing an angle out of the two angles of a right-angle triangle, we first establish ratios of three sides with the angles. The side with the angle and reaches to 90-degree angle is known as the adjacent side. The side opposite to this angle is known as the opposite side. Lastly, the hypotenuse is always opposite to the right angle. Using these three definitions, we have established three ratios to define the angle in relation to the lengths of sides.

Sine - The ratio of the opposite side to the hypotenuse of the triangle [sinΘ = opposite/hypotenuse]

Cosine - The ratio of the adjacent side to the hypotenuse of the triangle [cos Θ = (adjacent )/hypotenuse]

Tangent - The ratio of the opposite side to the adjacent side of the triangle [tan Θ = opposite/adjacent].

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Angles and Equations

Our Angles and Equations lesson plan teaches students different ways that angles can be used to find missing angles in equations. Students also learn how to use addition and subtraction to find the measure of an unknown angle.

Included with this lesson are some adjustments or additions that you can make if you’d like, found in the “Options for Lesson” section of the Classroom Procedure page. One of the optional additions to this lesson is to have groups of students make their own angle problems using a protractor and various shapes; they can then swap them with another group’s problems and solve them.

Description

Additional information, what our angles and equations lesson plan includes.

Lesson Objectives and Overview: Angles and Equations explores different ways angles can be used in equations to find missing angle measurements. The lesson focuses specifically on adding and subtracting angles. At the end of this lesson, students will be able to use addition and subtraction to find the measure of an unknown angle. This lesson is for students in 4th grade and 5th grade.

Classroom Procedure

Every lesson plan provides you with a classroom procedure page that outlines a step-by-step guide to follow. You do not have to follow the guide exactly. The guide helps you organize the lesson and details when to hand out worksheets. It also lists information in the orange box that you might find useful. You will find the lesson objectives, state standards, and number of class sessions the lesson should take to complete in this area. In addition, it describes the supplies you will need as well as what and how you need to prepare beforehand. The only supplies you will need for this lesson are charts of angles for the activity worksheet. To prepare for this lesson ahead of time, you can copy all of the materials and handouts and copy the shapes for the activity worksheet and draw in angles.

Options for Lesson

Included with this lesson is an “Options for Lesson” section that lists a number of suggestions for activities to add to the lesson or substitutions for the ones already in the lesson. For this lesson, one optional addition is to have groups of students make their own angle problems using a protractor and various shapes; they can then swap them with another group’s problems and solve them. You can also have older or more advanced students learn about the sum of interior angles and have them add up the sum of the interior angles for all of the shapes used during this lesson. Finally, you can have students solve more challenging problems alongside you where you add and subtract using three angles.

Teacher Notes

The teacher notes page includes lines that you can use to add your own notes as you’re preparing for this lesson.

ANGLES AND EQUATIONS LESSON PLAN CONTENT PAGES

The Angles and Equations lesson plan includes two content pages. The lesson begins with a quick review of some information students will have already learned from a previous lesson about angles. It reiterates that a circle has 360 degrees but can be broken up into many different angles of different sizes. All of these angles added together equal 360. You can add angles together to make larger angles or divided to make smaller ones. You could also use addition and subtraction to find missing angles. You can find angle measurements using mathematical equations. We can use a variable to represent the missing angle.

Students next learn about how they can use addition to find the total number of degrees in an angle. The lesson includes some helpful diagrams and figures of angles to illustrate this concept. You can add together adjacent angles, or angles that are next to each other but don’t overlap, to make a larger angle. You can also add adjacent angles together to find the sum of the larger angle. Additionally, you can add two or more angles together for the sum of the largest angle. You can add angles if they’re independent from one another or adjacent. The lesson also notes that geometry actually uses the additive properties of angles a lot!

Subtraction

Students finally learn about subtraction in relation to angles. You can subtract the measurement of a smaller angle from the measurement of a larger angle in order to find the missing measurement. The lesson includes two helpful examples to illustrate this along with diagrams of shapes and angles. One of the examples shows how to solve for a missing angle in a shape. In the example, a square is shown with a line running diagonally through it. The angle on one side is marked 45°, and the angle on the other side is marked x. 45°plus x is the total measurement of the larger angle, a square has four right angles, and a right angle is equal to 90 degrees. Therefore, you can come up with the right equation to solve for x, which equals 45°!

ANGLES AND EQUATIONS LESSON PLAN WORKSHEETS

The Angles and Equations lesson plan includes four worksheets: an activity worksheet, a practice worksheet, a homework assignment, and a quiz. You can refer to the guide on the classroom procedure page to determine when to hand out each worksheet.

SHAPES AND ANGLES ACTIVITY WORKSHEET

Students can work either alone or in groups for this activity. For the activity worksheet, you will need to either provide each student with a copy of the chart showing shapes and the measurements of a single side angle of that shape or display it at the front of the room. You will also print out the shapes, draw angles with measurements, and give them to the students. They will then determine the missing angles. Students will identify the shape, find the angle measurement on the chart, and then solve for the missing measurement.

ANGLES AND EQUATIONS PRACTICE WORKSHEET

For the practice worksheet, students determine the value of x in ten different problems.

MISSING ANGLES HOMEWORK ASSIGNMENT

The homework assignment asks students to look at figures and both write the equation and find the missing angles.

VALUE OF X QUIZ

This lesson plan also includes a quiz to test the students’ knowledge and understanding of the lesson material. For the quiz, students solve two problems where they have to determine the value of x.

Worksheet Answer Keys

This lesson plan includes answer keys for the practice worksheet, the homework assignment, and the quiz. No answer key is provided for the activity worksheet. If you choose to administer the lesson pages to your students via PDF, you will need to save a new file that omits these pages. Otherwise, you can simply print out the applicable pages and keep these as reference for yourself when grading assignments.

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5th Grade Geometry Worksheets Missing Angles

Welcome to the Math Salamanders 5th Grade Geometry worksheets. Here you will find a range of printable fifth grade geometry worksheets, which will help your child to learn all about angles in a range of shapes.

There are also some worksheets which explore the properties of a range of 2d shapes.

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5th Grade Geometry

On this webpage you will find our range of free printable geometry worksheets for fifth graders.

There is a range of printable geometry sheets, looking at angles in a variety of forms such as right angles, angles on a straight line and triangles.

Using these sheets will help your child to:

• learn how to find a missing angle;
• know that angles inside a right angle must add up to 90°
• know that angles on a straight line must add up to 180°
• know that angles around a point must add up to 360°
• know that angles in a triangle must add up to 180°

Want to test yourself to see how well you have understood this skill?.

• Try our NEW quick quiz at the bottom of this page.

Quicklinks to ...

• All Missing Angle Worksheets
• Missing Angles in a Right Angle Worksheets
• Missing Angles in a Straight Line Worksheets
• Missing Angles Around a Point Worksheets
• Finding All Missing Angles Worksheets
• Easer/Harder Worksheets
• More related resources

Finding Missing Angles Online Quiz

Missing angle worksheets.

Missing Angles in a Right Angle

• Angles to 90° Sheet 1
• PDF version

Missing Angles on a Straight Line

• Angles on a straight line Sheet 1

Missing Angles Around a Point

• Angles around a point 1
• Angles around a point 2

Missing Angles in a Triangle

• Angles in a triangle 1
• Angles in a triangle 2

Find all the Missing Angles

The sheets in this section contain a variety of missing angles from the categories above.

• Find the missing angle 1
• Find the missing angle 2

Quadrilaterals - Missing Angles

The sheets in this section use the fact that angles in a quadrilateral add up to 360° to find the missing angle.

• Angles in a Trapezoid 1
• Angles in a Trapezium 1 (UK version)
• Angles in a Quadrilateral 1

Exploring Deeper Section

The worksheets here involve children applying their knowledge and understanding about 2d shapes.

They are a great way to stretch the more able learners, or get children to think hard about the properties shapes have.

Although the sheets in this section are aimed at 5th grade, they could easily be used by older children.

The first five sheets are in our 3rd and 4th Grade Geometry section.

• Exploring 2d Shapes Sheet 6
• Exploring 2d Shapes Sheet 7

Looking for some easier Geometry Worksheets

Here is our selection of 4th grade Geometry worksheets.

Using these sheets will help you to:

• classify angles - acute, obtuse, right, reflex, straight;
• classify triangles - acute, obtuse, right;
• measure angles using a protractor;
• know that angles in a triangle add up to 180° .

The sheets in this section are at a simpler level than those on this page.

• 4th Grade Geometry Worksheets

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Coordinate Worksheets

Here is our collection of printable coordinate plane grids and coordinate worksheets.

Using these fun coordinate sheets is a great way to learn math in an enjoyable way.

• plot and write coordinates.
• Coordinate Worksheets (1st Quadrant)
• Coordinate Plane Worksheets (All 4 Quadrants)

5th Grade Area Worksheets

Here is our selection of free printable area worksheets for 5th grade.

The sheets are all graded in order from easiest to hardest.

• know how to calculate the area of a triangle;
• know how to calculate the area of a range of quadrilaterals.
• learn the formulas to calculate the area of triangles and some quadrilaterals.

All the free printable geometry worksheets in this section support Elementary Math Benchmarks.

• Math Practice Worksheets Area (5th Grade)

Area & Perimeter Worksheets 3rd and 4th grade

Here is our range of area and perimeter worksheets.

• know what area and perimeter are;
• know how to find the area and perimeter of rectangles;
• know how to find the area and perimeter of rectilinear shapes;

All the sheets in the section below support elementary math benchmarks.

• Area Worksheets
• Perimeter Worksheets

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Here is our range of volume worksheets.

• know what volume is and how to find it;
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• solving basic problems involving volume
• 5th Grade Volume Worksheets

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This quick quiz tests your knowledge and skill at finding missing angles in a right angle, along a straight line and around a point.

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