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

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B. Adjacent supplementary angles

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C. Non-adjacent supplementary angles

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D. Adjacent complementary angles

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E. Non-adjacent complementary angles

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**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

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Answer:

x + 2x + 48

3x + 48

3(x + 16)

Question 2.

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

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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)

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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.

âˆ CFD _________________

Answer:

âˆ BFD = âˆ BFC + âˆ CFD = 90Â°

âˆ BFD = 42Â° + âˆ CFD = 90Â°

âˆ CFD = 90 – 42

âˆ CFD = 48Â°

Question 5.

âˆ DFE _________________

Answer:

âˆ DFE + âˆ CFD = 180Â°

âˆ DFE + 48Â° = 180Â°

âˆ DFE = 180Â° – 48Â°

âˆ DFE = 132Â°

Question 6.

âˆ AFE _________________

Answer:

âˆ AFE + âˆ DFE = 180Â°

âˆ AFE + 132Â° = 180Â°

âˆ AFE = 180 – 132

âˆ AFE = 48Â°

Question 7.

Name a pair of vertical angles in the figure.

_________________

Answer:

âˆ B and âˆ 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:

Î”GFH and Î”LKJ are similar triangles and it is a reflected image.

Question 9.

Answer:

Î”PQR and Î”STU are not similar triangles.