Angles Worksheets
Sharpen geometry skills with free angles worksheets focused on reading angles with a protractor and finding missing angles. Students measure acute, right, and obtuse angles, then use angle relationships to solve for unknowns. Every worksheet prints as a PDF with an answer key in multiple versions and works as a digital assignment, with no login or account required. Modified versions give struggling students fewer problems per page, and the grading column plus quick grade scale make scoring fast. Best for 4th through 7th grade geometry units, in the classroom or at home.
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About these worksheets
Students develop angle measurement and classification skills through a variety of hands-on activities. Worksheets cover using protractors to measure and create angles, identifying acute, obtuse, right, and reflex angles, finding missing angles in shapes and straight lines, and working with complementary and supplementary angle pairs. Topics also include estimating angles, finding angles in circles, and solving for variables in angle equations. These resources span fourth through seventh grade standards.
4md6
Use a protractor correctly by lining up the center point and the baseline with a ray. Draw an angle with a given number of degrees by marking the correct spot on the protractor and drawing the second ray. Read degree measurements on a protractor, including choosing the correct scale. Label the vertex and rays of an angle and name the angle you created.
4md5a
Look at an angle and decide if it is acute, right, obtuse, or straight. Use the degree measure of an angle to help classify it correctly. Recognize benchmark angles like 90° and 180° and compare other angles to them.
4g1
Identify whether an angle is acute, right, obtuse, or straight by looking at it. Compare an angle to a right angle as a quick visual benchmark. Notice when an angle is smaller than 90°, exactly 90°, between 90° and 180°, or exactly 180°. Use the shape and direction of the rays to classify angles even when they are rotated.
4g1
Decide whether an angle shown is a right angle (90°). Tell the difference between right angles and angles that are smaller (acute) or larger (obtuse). Recognize that perpendicular lines meet to make a 90° angle.
4g1
Spot and name acute, right, and obtuse angles in different shapes. Count how many of each type of angle a shape has. Use the corners (vertices) of a polygon to decide where the angles are.
Identify acute, right, obtuse, and reflex angles in a drawing. Count how many of each type of angle a shape has. Use angle size clues (smaller than 90°, exactly 90°, between 90° and 180°, greater than 180°) to sort angles correctly. Pay attention to where the angle is formed at a vertex so you don’t count the wrong corner.
4md6
Choose the correct scale on the protractor (inner or outer) to read the angle correctly. Read and write the angle measure using the degree symbol (°).
4md6
Learn to choose the correct scale on the protractor when the angle does not start at 0. Measure angles in degrees by reading where the other ray crosses the protractor. Write the angle measure using the degree symbol (°).
4md5a
Look at an angle and make a reasonable guess of its size in degrees. Use benchmark angles like 90°, 180°, and 360° to estimate other angles. Compare a few degree choices and pick the one that is closest to the angle shown.
4md7
Practice finding a missing angle when a larger angle is split into two smaller angles Subtract a known part from the total angle to find the unknown part Read angle diagrams that show how two angles combine to form a bigger angle
4md6
Learn how to place a protractor correctly by lining up the center on the vertex and the baseline on one ray. Practice reading the correct scale on a protractor to measure an angle in degrees. Write the angle measure using the degree symbol (°).
7g5
Understand that supplementary angles add up to 180°. Find a missing angle measure when you know the other angle in a supplementary pair. Use subtraction from 180° to solve for an unknown angle.
7g5
Understand that complementary angles add up to 90°. Find a missing angle measure by subtracting from 90°. Check whether two angles are complementary by adding their measures.
7g5
Find an unknown angle when you know the other angle in a straight line (they add to 180°). Use vertical angles and adjacent angles in intersecting lines to figure out missing measures.
7g5
Practice finding complementary angles by subtracting from 90° Practice finding supplementary angles by subtracting from 180° Learn the difference between complementary (add to 90°) and supplementary (add to 180°) angle pairs
Practice finding the angle of a shaded section by figuring out what fraction of the circle it covers Use the fact that a full circle is 360° to calculate the degrees for equal-sized slices Work with circles divided into different numbers of equal parts (halves, fourths, sixths, eighths, etc.)
7g2
Use a given angle as a starting point to draw a triangle that fits the angle. Draw straight line segments from the angle’s vertex to make three sides that meet at three corners.
7g5
Find the value of a missing variable by keeping both sides of an equation balanced. Use addition and subtraction to undo numbers around a variable and isolate it. Solve for an unknown angle measure when the equation includes a variable.
About these worksheets
These worksheets focus on precise angle measurement skills. Students practice finding the angle between two points relative to the origin on a coordinate grid and using a protractor to draw a ray and calculate a missing angle. These activities reinforce protractor use and the concept that adjacent angles combine to form a larger angle.
Find the angle a point makes from the origin (0,0) on a coordinate grid. Measure or calculate the angle in degrees from the positive x-axis to the point.
4md7
Practice drawing a new ray from a vertex at a given degree mark on a protractor. Find a missing angle when two adjacent angles make a larger angle. Use addition and subtraction with angle measures to figure out the unknown angle.
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