4th Grade Measuring and Drawing Angles Worksheet (PDF)

4th Grade math worksheet: Measuring and Drawing Angles – Maths PDFCover of the book Grade 4 Math Worksheets with Answers (PDF)Download as a PDFThe Grade 4 worksheets book with answersPrintable PDFSee the book ›


This angles practice worksheet for 4th Grade covers measuring and drawing angles (Common Core 4.MD.C.5, 4.MD.C.6, 4.MD.C.7), with a free PDF to print.

These 20 problems practice angles as turns, the one-degree angle, reading a protractor, sketching angles, and adding or subtracting angles to find an unknown. They match Common Core 4.MD.C.5, 4.MD.C.6, and 4.MD.C.7.

The last six problems are word problems about a door, a robot, a picture frame, and sprinklers. Write the degree sign with every angle.

Grade 4 · Common Core State Standards: 4.MD.C.5, 4.MD.C.6, 4.MD.C.7

Angles practice worksheet: exercises 1 to 10

Exercise 1 – Full turn

How many degrees are in a full turn around a circle?

Exercise 2 – Half turn

How many degrees are in a half turn?

Exercise 3 – Quarter turn

How many degrees are in a quarter turn?

Exercise 4 – Three-quarter turn

How many degrees are in a three-quarter turn?

Exercise 5 – Read the protractor

Read the measure of the angle.

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Read the scale from 0.

Exercise 6 – A wider angle

Read the measure of the angle.

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Read the scale from 0.

Exercise 7 – Classify angles

Write acute, right, or obtuse for each angle: \(35^{\circ}\), \(90^{\circ}\), \(120^{\circ}\), \(72^{\circ}\).

Exercise 8 – Angle between two rays

Two rays cross the protractor scale at 30° and 80°. Find the measure of the angle between them.

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Both rays start at the center.

Exercise 9 – Sketch a 45° angle

Use a protractor to sketch an angle that measures \(45^{\circ}\). Label the vertex.

Exercise 10 – Sketch a 120° angle

Use a protractor to sketch an angle that measures \(120^{\circ}\).

Exercises 11 and up

Exercise 11 – Add two angles

Two angles share a ray and do not overlap. One measures \(40^{\circ}\) and the other measures \(25^{\circ}\). Find the measure of the combined angle.

Exercise 12 – Unknown angle in a right angle

A right angle is split into two angles. One measures \(38^{\circ}\). Find the other.

38°?90°
Parts add to 90°.

Exercise 13 – Unknown angle on a line

Two angles sit together on a straight line. One measures \(115^{\circ}\). Find the other.

115°?180°
A straight line is 180°.

Exercise 14 – Three parts

A big angle is made of three smaller angles that measure \(30^{\circ}\), \(45^{\circ}\), and \(25^{\circ}\). Find the big angle.

Exercise 15 – Clock hands

The minute hand of a clock starts at 12 and moves to the 4. Each number on a clock is \(30^{\circ}\) from the next. How many degrees does the minute hand turn?

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Minute hand at 4.

Exercise 16 – Pizza slices

Maya’s pizza is cut into 8 equal slices. Each slice has an angle of \(45^{\circ}\) at the center. Maya eats 3 slices. What is the total angle of the slices she ate?

45°3 of 8 slices eaten
A pizza with 8 equal slices.

Exercise 17 – Opening a door

Jamal pushes a door open by \(70^{\circ}\). Then he pushes it another \(35^{\circ}\). What is the total angle the door has opened? Is it acute or obtuse?

Exercise 18 – Turning a robot

Ethan faces north. He turns his robot a quarter turn clockwise, then another \(45^{\circ}\). How many degrees has the robot turned? How many more degrees would make a half turn?

Exercise 19 – Picture frame brace

A corner of Priya’s frame is a right angle. A brace splits it into \(37^{\circ}\) and an unknown angle. A second brace splits the unknown angle into \(20^{\circ}\) and another unknown angle. Find both unknown angles.

Exercise 20 – Sprinklers

Diego has two sprinklers that together should water a full circle. Sprinkler A sweeps through \(210^{\circ}\). How many degrees must sprinkler B sweep? If B sweeps only \(90^{\circ}\), how many degrees are left dry?

See the solutions: Measuring and Drawing Angles worksheet solutions

Key facts behind this angles practice worksheet

Key facts
  • An angle has two rays and one shared endpoint called the vertex.
  • A full circle is 360 degrees, a half turn is 180 degrees, and a quarter turn is 90 degrees.
  • A one-degree angle turns through 1/360 of a circle.
  • Acute angles are less than 90 degrees, right angles are exactly 90 degrees, and obtuse angles are greater than 90 degrees.
  • If an angle is split into parts, the whole angle is the sum of the parts.

How to use this angles practice worksheet

Work through the exercises in order: they go from simple to challenging. Write every step on paper, then compare with the solutions page and redo any exercise you missed the next day.

Download the angles practice worksheet as a PDF with the button below and keep it with your notes.

All Grade 4 chapters: Grade 4 math.

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4th Grade Measuring and Drawing Angles Worksheet

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