Question

Х

71 - 3b
R
- 10b + 113
?
Find the measure for LQR.
A)
125
B)
127
C)
129°
D)
133
Geometry

Answer 1

B. 127°

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°