We included **HMH Into Math Grade 4 Answer Key PDF** **Module 13 Lesson 5 Measure and Draw Angles Using a Protractor **to make students experts in learning maths.

## HMH Into Math Grade 4 Module 13 Lesson 5 Answer Key Measure and Draw Angles Using a Protractor

I Can use a protractor to accurately and precisely measure and draw angles.

**Step It Out**

Question 1.

Ricardo is a structural engineer who designs play structures. He wants to find the measure of ∠EFG.

A protractor is a tool for measuring the size of an angle. How can Ricardo find the measure of the angle using a protractor?

Measure ∠EFG using a protractor.

A. Find the vertex of the angle. Find the center point of the protractor. Place the center point of the protractor on vertex F of the angle.

Answer:

∠EFG = 30°

B. Align the 0° mark on the scale of the protractor with \(\overrightarrow{F G}\).

Answer:

C. Find where \(\overrightarrow{F E}\) intersects the same scale. Read the angle measure on that scale. If the ray is not long enough to intersect the same scale, you can extend it.

m∠EFG = __________

Answer:

m∠EFG =30°

Explanation:

vertex is a point of the rays E and G is measured at point F

by aligning the center point at F of protractor and the angle between the rays E and G is measured at point F.

**Turn and Talk** How can you use what you know about classifying angles to help you use the scale on a protractor correctly?

Answer:

Angles can be either straight, right, acute or obtuse.

An angle is a fraction of a circle where the whole circle is 360°.

A straight angle is the same as half the circle and is 180° whereas a right angle is a quarter of a circle and is 90°.

Measure the size of an angle with a protractor, here the angle between the E and F is 30°.

Question 2.

Ricardo wants to sketch a new slide for the playground with the angle formed by the bottom of the slide and the ground measuring 38°. How can he use a protractor to draw an angle that measures 38°?

A. Use the straight edge of the protractor to draw \(\overrightarrow{L M}\). Label the ray.

Answer:

B. Place the center point of the protractor on point L. Align \(\overrightarrow{L M}\) with the 0° mark on the protractor.

Answer:

C. Using the same scale, make a point at 38°. Label the point K.

Answer:

D. Use the straight edge of the protractor to draw ray LK. Label the ray.

Answer:

The straight edge of the protractor to draw ray LK and labeled the ray as shown below.

Explanation:

Use the straight edge of the protractor to draw \(\overrightarrow{L M}\).

Place the center point of the protractor on point L.

Align \(\overrightarrow{L M}\) with the 0° mark on the protractor.

Using the same scale, make a point at 38°. Label the point K.

Use the straight edge of the protractor to draw ray LK. Label the ray.

**Turn and Talk** How can you use a protractor to show that the measure of ∠KLM is 38°?

Answer:

You measure the size of an angle with a protractor, by placing the protractor center at point L and the 0°

the measure of ∠KLM is 38° is measured

**Check Understanding**

Question 1.

Use a protractor to find the angle measure.

m∠DEF = _________

Answer:

m∠QRS is 115°

Explanation:

Angle more than 90° is an obtuse angle.

Question 2.

Use a protractor to draw an angle that measures 65°. Classify the type of angle you drew.

Answer:

m∠QRS is 65°

Explanation:

Angle less than 90° is an acute angle.

**On Your Own**

Question 3.

**Use Tools** The park department must order a new slide with an angle under the slide that measures 30°. Use a protractor to find the angle measure formed by the underside of the slide and the ground. Write each measure. Then circle the slide that the park department should order.

Answer:

Explanation:

Slide A

Sllide B

**Use a protractor to find the angle measure.**

Question 4.

m∠QRS = _________

Answer:

The measure of m∠QRS is 100°

Explanation:

The measure of the angle formed by the two rays or arms at a common vertex is known as measure of angle.

Angles are measured in degrees using a protractor.

The measure of angle m∠QRS is 100°

Question 5.

m∠XYZ = ___________

Answer:

The measure of m∠XYZ is 150°

Explanation:

The measure of the angle formed by the two rays or arms at a common vertex is known as measure of angle.

Angles are measured in degrees using a protractor.

The measure of angle m∠QRS is 150°

Question 6.

**Reason** Paul uses a protractor to measure ∠HIJ. He says the measure of ∠HIJ is 70° and that the angle is obtuse. How do you know if his answers are correct?

Answer:

Angle is 110°, the angle is obtuse.

Explanation:

Angle which measures more than 90° is called obtuse angle.

Question 7.

Use a protractor to find the angle measures.

m∠E = _________

m∠P = _________

m∠C = _________

Answer:

m∠E = 60°

m∠P = 60°

m∠C = 60°

m∠E + m∠P + m∠C = 180°

Explanation:

Find the baseline of the protractor and line it up with the baseline of the shape or angle.

Place the midpoint of the protractor on the vertex of the angle.

Line up one side of the angle with the zero line of the protractor.

Read the degrees where the other side crosses the number scale.

Question 8.

**STEM** Alison designs a toy robot. In order for the robot to move correctly, the angles formed between its body and arms must be 30°. Help Alison complete her drawing by using a protractor to draw an angle that measures 30° where the robot’s missing arm should be. After you have drawn the angle, draw the arm.

Answer:

Explanation:

the angles formed between its body and arms must be 30°.

Angle less than 90° is known as acute angle.

**Use a protractor to draw the angle.**

Question 9.

125°

Answer:

The measure of m∠ABC is 125°

Explanation:

Find the baseline of the protractor and line it up with the baseline of the shape or angle.

Place the midpoint of the protractor on the vertex of the angle.

Line up one side of the angle with the zero line of the protractor.

Read the degrees where the other side crosses the number scale.

Angle which measures more than 90° is called obtuse angle.

Question 10.

48°

Answer:

the measure of m∠QOP is 48°

Explanation:

Find the baseline of the protractor and line it up with the baseline of the shape or angle.

Place the midpoint of the protractor on the vertex of the angle.

Line up one side of the angle with the zero line of the protractor.

Read the degrees where the other side crosses the number scale.

Angle which measures less than 48° is called acute angle.

Question 11.

Draw a right angle.

How do you know the angle you drew is a right angle?

Answer:

The measure of m∠PQR is 90°

Explanation:

Find the baseline of the protractor and line it up with the baseline of the shape or angle.

Place the midpoint of the protractor on the vertex of the angle.

Line up one side of the angle with the zero line of the protractor.

Read the degrees where the other side crosses the number scale.

Angle which measures exactly 90° is called Right angle.

Question 12.

Draw an obtuse angle.

How do you know the angle you drew Is an obtuse angle?

Answer:

The measure of m∠LMN is 120°

Explanation:

Find the baseline of the protractor and line it up with the baseline of the shape or angle.

Place the midpoint of the protractor on the vertex of the angle.

Line up one side of the angle with the zero line of the protractor.

Read the degrees where the other side crosses the number scale.

Angle which measures more than 90° is called obtuse angle.