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weeeeeb [17]
3 years ago
13

Х

Mathematics
1 answer:
cupoosta [38]3 years ago
4 0

Answer:

B. 127°

Step-by-step explanation:

First, use the vertical angles XQL and MQR to find the value of b.

Vertical angles are congruent.

71 - 3b = -10b + 113

7b = 42

b = 6

m<XQL = -10b + 113 = -10(60) + 113 = 53

Angles XQL and LQR form a linear pair, so they are supplementary.

m<XQL + m<LQR = 180

53 + m<LQR = 180

m<LQR = 127

Answer: B. 127°

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