Question

Line WX is parallel to line YZ. If m∠XAB = (2x + 16)° and m∠VAW = 138°, find the value of x.

A. 65

B. 69

C. 77

D. 61

Answer 1

D. 61

Explanation:

Since ∠XAB and ∠VAW is a pair of vertical angles then they are congruent

then

m∠XAB = m∠VAW

then

2x + 16 = 138

then

2x = 122

then

x = 61