kamyahwalls kamyahwalls
  • 25-02-2021
  • Mathematics
contestada

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

Х 71 3b R 10b 113 Find the measure for LQR A 125 B 127 C 129 D 133 Geometry class=

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 25-02-2021

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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