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liq [111]
3 years ago
8

Given: m∠PRS = 2x + 12

Mathematics
2 answers:
blondinia [14]3 years ago
8 0

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

olganol [36]3 years ago
3 0

Answer:

sorry i dont realy understand that

Step-by-step explanation:

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