# Into Math Grade 4 Module 17 Lesson 5 Answer Key Measure and Draw Angles of Two-Dimensional Figures

We included HMH Into Math Grade 4 Answer Key PDF Module 17 Lesson 5 Measure and Draw Angles of Two-Dimensional Figures to make students experts in learning maths.

## HMH Into Math Grade 4 Module 17 Lesson 5 Answer Key Measure and Draw Angles of Two-Dimensional Figures

I Can use a protractor to accurately and precisely measure and draw angles in two-dimensional figures.

Step It Out

Question 1.
Shawn looks at the instructions for building a castle model. There is a small tower at the corner of the model called a turret. Shawn needs to measure the angles of an opening in the turret. How can he find the measures of the angles?

Measure △ABC using a protractor.
A. Place the center point of the protractor on the vertex of ∠ABC.

B. Align the 00 mark on the scale of the protractor with $$\overline{B C}$$.

C. Find where $$\overline{B A}$$ intersects the same scale. Read and record the angle measure on the scale.
m∠ABC = _________

D. Repeat Steps A-C for ∠BAC and ∠ACB.
m∠BAC = _________
m∠ACB = _________

Turn and Talk How can you use the angle measures to classify the triangle?

Question 2.
Shonda’s architectural plans for the science museum’s main entrance will include a trapezoid-shaped window with two 750 angles. How can Shonda draw angles of a given measure to form a trapezoid?

A. Place the center point of the protractor on point O. Align $$\overline{O N}$$ with the 00 mark on the protractor.

B. Using the same scale, make a point at 75°. Label the point L.

C. Draw $$\overline{O L}$$.

Drawn the line OL.

D. Place the center point of the protractor on point N. Align $$\overline{N O}$$ with the o° mark on the protractor.

E. Using the same scale, make a point at 75° that is the same distance from $$\overline{N O}$$ as point L is. Label the point M.

F. Draw $$\overline{N M}$$.

G. Draw $$\overline{L M}$$ to form the trapezoid.

Turn and Talk Explain how your understanding of lines and angles can help you draw two-dimensional figures.

Check Understanding

Question 1.
Sabika drew a parallelogram with an angle that measures 50° and an angle that measures 1300. Use a protractor to draw what could be Sabika’s parallelogram.

The above figure has angles 50° and 130° .

Question 2.
Use Tools The main entrance at the science museum will have a window in the shape of a parallelogram. The window must have an angle that measures 40°. Use a protractor to find the measures of the angles, and determine which window the science museum should use.

The science museum should use Window ________.

Question 3.
Model with Mathematics Matias draws building plans for a greenhouse. Use a protractor to find the angle measures for the trapezoid. Write an equation to find the sum of the angle measures.

m ∠E = ________
m ∠F = ________
m ∠G = ________
m ∠H = ________
Equation: ________________
Sum of the angle measures = ________

Question 4.
Attend to Precision Faye designs a trapezoid background for a display case. The measures of two angles should be 80°. Use a protractor to draw a sample of her design.

Explanation:
The drawn trapezoid has two angles which measures 80° each.

Question 5.
Reason Scott came over to finish a drawing for Jillian. She began drawing a quadrilateral with only 2 right angles. How can Scott finish her drawing?

Explanation:
Scott can finish her drawing in many ways to have only 2 right angles. Has the drawn figure has already 2 right angles, so to complete the quadrilateral no more right angle should be formed. One of the ways to drawn quadrilateral is above.

Question 6.
Use a protractor and $$\overline{C D}$$. Draw a right triangle. Label the third vertex E.

Why is this a right triangle?

Explanation:
A right angle formed at vertex D with the sides CD and DE. So this is a right angled triangle.

Question 7.
Use a protractor and $$\overline{U V}$$. Draw an obtuse triangle. Label the third vertex W.

Why is this an obtuse triangle?