Answer:
C. 150
Explanation:
Given:
m<8 = 11y + 7
m<3 = y + 17
Required:
Find m<2
Solution:
m<8 + m<3 = 180 (supplementary angles and linear pair theorem)
11y + 7 + y + 17 = 180 (substitution)
Collect like terms
12y + 24 = 180
Subtract 24 from each side
12y = 180 - 24
12y = 156
Divide both sides by 12
y = 156/12
y = 13
m<2 = m<8 (alternate exterior angles are congruent)
m<2 = 11y + 7
Substitute y = 13 into the equation
m<2 = 11(13) + 7 = 143 + 7
m<2 = 150°