Question

Given: m∠PRS = 2x + 12

Answer 1

Answer:

See Below.

Step-by-step 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:

$m\angle PRS=52$

Answer 2

Answer:

sorry i dont realy understand that

Step-by-step explanation: