# 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

Solve for x.

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

Grade 8 Module 7 Answer Key Angle Relationships Unit Test Question 2.
7x – 6 = 36
Following the example on page 190, first, we add 6 to both sides Then, we simplify and 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
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
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
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)

Module 7 Angle Relationships in Parallel Lines and Triangles Answer Key Question 6.
$$\frac{1}{2}$$x + 9 = 30
$$\frac{1}{2}$$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 âˆ™ 2 (Multiply both sides by 2) …………… (4)
x = 42 (Simplify) …………… (5)

Question 7.
$$\frac{1}{3}$$x – 7 = 15
$$\frac{1}{3}$$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 âˆ™ 3 (Multiply both sides by 3) …………… (4)
x = 66 (Simplify) …………… (5)

Question 8.
0.5x – 0.6 = 8.4
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.

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

Question 10.

The angle formed by the dashed rays can be named as âˆ SGK or âˆ KGS

Grade 8 Module 7 Angle Relationships Unit Test Answer Key Question 11.

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

Visualize Vocabulary

Use the âœ“ 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 ____________.
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

Geometry Module 7 Answer Key Angle Relationships in Parallel Lines and Triangles Question 2.
Figures with the same shape but not necessarily the same size are ____________.
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.