4th Grade Measuring and Drawing Angles Worksheet Solutions (PDF)

4th Grade math worksheet solutions: Measuring and Drawing Angles – Maths PDF

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This angles practice solutions 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.

Each answer shows the reasoning, the calculation, and the final angle in bold. For protractor questions, the answer says which scale to read. For sketching problems, the answer shows the finished angle so you can compare it with your own drawing.

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

Angles practice solutions: exercises 1 to 10

Exercise 1 – Full turn

A full circle is split into 360 one-degree slices.

360°

Exercise 2 – Half turn

A half turn is half of a full turn: \(360 \div 2 = 180\).

180°

Exercise 3 – Quarter turn

\(360 \div 4 = 90\). A quarter turn makes a right angle.

90°

Exercise 4 – Three-quarter turn

One quarter is 90°, so three quarters is \(3 \times 90 = 270\).

270°

Exercise 5 – Read the protractor

One ray is on 0. The other ray crosses the scale at 50. It is less than 90, so it is acute.

50°

Exercise 6 – A wider angle

The second ray crosses the scale at 130. It is greater than 90, so it is obtuse.

130°

Exercise 7 – Classify angles

\(35^{\circ}\) is less than 90: acute.
\(90^{\circ}\) is exactly 90: right.
\(120^{\circ}\) is more than 90: obtuse.
\(72^{\circ}\) is less than 90: acute.

acute, right, obtuse, acute

Exercise 8 – Angle between two rays

Subtract the two readings: \(80 – 30 = 50\).

50°

Exercise 9 – Sketch a 45° angle

Draw a ray. Put the protractor center on its endpoint and mark 45 on the scale. Draw a second ray through the mark.

A 45° angle.

A 45° angle (acute)

Exercise 10 – Sketch a 120° angle

Draw a ray, line up the protractor, and mark 120 on the scale. Join the mark to the vertex.

A 120° angle.

A 120° angle (obtuse)

Exercises 11 and up

Exercise 11 – Add two angles

\(40 + 25 = 65\).

65°

Exercise 12 – Unknown angle in a right angle

\(90 – 38 = 52\). Check: \(38 + 52 = 90\).

Check: 38 + 52 = 90.

52°

Exercise 13 – Unknown angle on a line

\(180 – 115 = 65\). Check: \(115 + 65 = 180\).

65°

Exercise 14 – Three parts

\(30 + 45 = 75\), then \(75 + 25 = 100\).

100° (obtuse)

Exercise 15 – Clock hands

From 12 to 4 is 4 numbers: \(4 \times 30 = 120\).

120°

Exercise 16 – Pizza slices

\(3 \times 45 = 135\).

A pizza with 8 equal slices.

135°

Exercise 17 – Opening a door

\(70 + 35 = 105\). Since 105 is greater than 90, the angle is obtuse.

105°, obtuse

Exercise 18 – Turning a robot

A quarter turn is 90°. Then \(90 + 45 = 135\).

A half turn is 180°: \(180 – 135 = 45\).

135°; 45° more

Exercise 19 – Picture frame brace

First unknown: \(90 – 37 = 53\).

Second unknown: \(53 – 20 = 33\).

37 + 20 + 33 = 90.

53° and 33°

Exercise 20 – Sprinklers

Full circle: 360°. B must sweep \(360 – 210 = 150\).

If B sweeps 90°, the dry part is \(150 – 90 = 60\).

150°; 60° dry

Key facts behind this angles practice solutions

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 solutions

Cover each solution, solve the exercise again, then uncover it and compare every line. If your answer differs, find the first step that changed and redo the exercise from there.

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

All Grade 4 chapters: Grade 4 math.

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