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5 votes
Given

mZQPS is a straight angle
mZQPR = 72 – 4°
mZRPS = 9x - 40°
Find mZQPR:
P

1 Answer

6 votes

9514 1404 393

Answer:

m∠QPR = 94°

Explanation:

Given:

m∠QPS = 180°

m∠QPR = 7x -4°

m∠RPS = 9x -40°

Find:

m∠QPR

Solution:

m∠QPR + m∠QPR = 180°

(7x -4°) +(9x -40°) = 180°

16x = 224° . . . . . . . . . . . . . add 44°

x = 14° . . . . . . . . . . . . . divide by 16

m∠QPR = 7x -4° = 7(14°) -4°

m∠QPR = 94°

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