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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Turn and Talk

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

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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x + 2x + 48
3x + 48
3(x + 16)

Question 2.
(n + 7) + 3(n + 1) + 90
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(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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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 _________________
âˆ BFD = âˆ BFC + âˆ CFD = 90Â°
âˆ BFD = 42Â° + âˆ CFD = 90Â°
âˆ CFD = 90 – 42
âˆ CFD = 48Â°

Question 5.
âˆ DFE _________________
âˆ DFE + âˆ CFD = 180Â°
âˆ DFE + 48Â° = 180Â°
âˆ DFE = 180Â° – 48Â°
âˆ DFE = 132Â°

Question 6.
âˆ AFE _________________
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.
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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.