# Texas Go Math Grade 8 Module 7 Answer Key Angle Relationships in Parallel Lines and Triangles

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## Texas Go Math Grade 8 Module 7 Answer Key Angle Relationships in Parallel Lines and Triangles

Texas Go Math Grade 8 Module 7 Are You Ready? Answer Key

Solve for x.

Question 1.
6x + 10 = 46
Answer:
Following the example on page 190, first we subtract 10 from both sides Then, we simplify and we divide both sides by 6.
6x + 10 = 46
6x + 10 – 10 = 46 – 10
6x = 36
$$\frac{6x}{6}$$ = $$\frac{36}{6}$$
x = 6

Question 2.
7x – 6 = 36
Answer:
Following the example on page 190, first we add 6 to both sides Then, we simpLify and we divide both sides by 7.
7x – 6 = 36
7x – 6 + 6 = 36 + 6
7x = 42
$$\frac{7x}{7}$$ = $$\frac{42}{7}$$
x = 6

Question 3.
3x + 26 = 59
Answer:
Following the example on page 190, first we subtract 26 from both sides. Then, we simplify and we divide both sides by3.
3x + 26 = 59
3x + 26 – 26 = 59 – 26
3x = 33
$$\frac{3x}{3}$$ = $$\frac{33}{3}$$
x = 11

Question 4.
2x + 5 = -25
Answer:
Following the example on page 190, first we subtract 5 from both sides. Then, we simplify and we divide both sides by 2.
2x + 5 = 25
2x + 5 – 5 = -25 – 5
2x = 30
$$\frac{2x}{2}$$ = $$\frac{30}{2}$$
x = -15

Question 5.
6x – 7 = 41
Answer:
6x – 7 = 41 (Write the equation) ……….. (1)
6x = 41 + 7 (Add 7 to both sides) ………… (2)
6x = 48 (Simplify) ………….. (3)
x = $$\frac{48}{6}$$ (Divide both sides by 6) ………. (4)
x = 8 (Simplify) ………….. (5)

Question 6.
$$\frac{1}{2}$$x + 9 = 30
Answer:
$$\frac{1}{2}$$x + 9 = 30 (Write the equation.) ……………. (1)
$$\frac{1}{2}$$x = 30 – 9 (Subtract 9 from both sides) ……………. (2)
$$\frac{1}{2}$$x = 21 (Simplify) ………………. (3)
x = 21 ∙ 2 (Multiply both sides by 2) …………… (4)
x = 42 (Simplify) …………… (5)

Question 7.
$$\frac{1}{3}$$x – 7 = 15
Answer:
$$\frac{1}{3}$$x + 7 = 15 (Write the equation.) ……………. (1)
$$\frac{1}{3}$$x = 15 + 7 (Add 7 from both sides) ……………. (2)
$$\frac{1}{3}$$x = 22 (Simplify) ………………. (3)
x = 22 ∙ 3 (Multiply both sides by 3) …………… (4)
x = 66 (Simplify) …………… (5)

Question 8.
0.5x – 0.6 = 8.4
Answer:
0.5x – 0.6 = 8.4 (Write the equation) …………. (1)
0.5x = 8.4 + 0.6 (Subtract 9 from both sides) …………. (2)
0.5x = 9 (Simplify) ………….. (3)
x = $$\frac{9}{0.5}$$ (Divide both sides with 0.5) ………. (4)
x = 18 (Simplify) …………. (5)

Give two names for the angle formed by the dashed rays.

Question 9.

Answer:
The angle formed by the dashed rays can be named as: ∠MHR or ∠RHM

Question 10.

Answer:
The angle formed by the dashed rays can be named as: ∠SGK or ∠KGS

Question 11.

Answer:
The angle formed by the dashed rays can be named as: ∠BTF or ∠FTB

Texas Go Math Grade 8 Module 7 Reading Start-Up Answer Key

Visualize Vocabulary

Use the ✓ words to complete the graphic. You can put more than one word in each section of the triangle.

Understand Vocabulary

Complete the sentences using preview words.

Question 1.
A line that intersects two or more lines is a ____________.
Answer:
A transversal line is a line that intersects two or more Lines in the same plane at different points.
By definition, a line that intersects two or more lines is a transversal.
Thus, the blank part in the statement is transversal

Question 2.
Figures with the same shape but not necessarily the same size are ____________.
Answer:
Figures with the same shape but not necessarily the same size are similar figures.

Question 3.
An ____________________ is an angle formed by one side of the triangle and the extension of an adjacent side.
Answer:
The angle formed by one side of the triangle and the extension of an adjacent side is called an exterior angle.
By definition, an exterior angle is an angle formed by one side of the triangle and the extension of an adjacent side.
Thus, the blank part in the statement is exterior angle.

Active Reading
Pyramid Before beginning the module, create a pyramid to help you organize what you learn. Label each side with one of the lesson titles from this module. As you study each lesson, write important ideas like vocabulary, properties, and formulas on the appropriate side.

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