2 Answers

MoCap · Answer 1 · 2021-07-19T09:25:21+0000

Answer:

See Below.

Explanation:

1) Given:

$\angle PRS\text{ and } \angle SRT \text{ are a linear pair.}$

2) Definition of Linear Pair:

$m\angle PRS+m\angle SRT=180$

3) Given:

$m\angle PRS=2x+12$

4) Given:

$\displaystyle m\angle SRT=6x+8$

5) Substitution Property:

(2x+12)+(6x+8)=180

6) Combine Like Terms:

8x+20=180

7) Subtraction Property of Equality (subtract 20 from both sides):

8x=160

8) Division Properety of Equality (divide both sides by 8):

x=20

9) Given (this step is optional. You don’t have to include this):

$m\angle PRS=2x+12$

10) Substitution:

$\displaystyle m\angle PRS=2(20)+12$

11) Multiplication:

$m\angle PRS=40+12$

12) Addition:

$m\angle PRS=52$

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