We included **HMH Into Math Grade 8 Answer Key**** PDF** **Module 4 Angle Relationships **to make students experts in learning maths.

## HMH Into Math Grade 8 Module 4 Answer Key Angle Relationships

**A Fox From Any Angle**

The diagram shows the design for a fox made from folded paper.

Give an example of each type of angle pair in the design.

A. Vertical angles

_________________

B. Adjacent supplementary angles

_________________

C. Non-adjacent supplementary angles

_________________

D. Adjacent complementary angles

_________________

E. Non-adjacent complementary angles

_________________

**Turn and Talk**

How did you identify a pair of non- adjacent supplementary angles?

**Are You Ready?**

**Complete these problems to review prior concepts and skills you will need for this module.**

**Operations with Linear Expressions**

**Simplify each expression.**

Question 1.

x + 2x + 48

_________________

Answer:

x + 2x + 48

3x + 48

3(x + 16)

Question 2.

(n + 7) + 3(n + 1) + 90

_________________

Answer:

(n + 7) + 3(n + 1) + 90

n + 7 + 3n + 3 + 90

Combine the like terms

n + 3n + 7 + 3 + 90

4n + 100

4(n + 25)

Question 3.

180 – (68 + a)

_________________

Answer:

180 – (68 + a)

180 – 68 – a

112 – a

**Angle Relationships**

**In the figure. Lines AD and CE intersect at Point F. Determine the measure of each angle.**

Question 4.

∠CFD _________________

Answer:

∠BFD = ∠BFC + ∠CFD = 90°

∠BFD = 42° + ∠CFD = 90°

∠CFD = 90 – 42

∠CFD = 48°

Question 5.

∠DFE _________________

Answer:

∠DFE + ∠CFD = 180°

∠DFE + 48° = 180°

∠DFE = 180° – 48°

∠DFE = 132°

Question 6.

∠AFE _________________

Answer:

∠AFE + ∠DFE = 180°

∠AFE + 132° = 180°

∠AFE = 180 – 132

∠AFE = 48°

Question 7.

Name a pair of vertical angles in the figure.

_________________

Answer:

∠B and ∠F are the vertical angles

**Similar Figures**

**Use tracing paper, a protractor, and a ruler to determine whether the triangles in each pair are similar. If so, describe a sequence of transformations that demonstrates the similarity.**

Question 8.

Answer:

ΔGFH and ΔLKJ are similar triangles and it is a reflected image.

Question 9.

Answer:

ΔPQR and ΔSTU are not similar triangles.