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°
