Lets define the vertical angles theorem :
states that in a pair of intersecting lines , the vertical angels are congruet , meaning they are identical .
• so angle A = angle B
8x +14 = 2x +50 ....(solve for x by collecting like terms )
8x -2x = 50 -14
6x = 36
x = 6
by substituting x = 6 into angle B's equation, we get that
Angle B = 2(6)+50
=12 +50
Therefore Angle B = 62
similarly, Angle A = 8(6) +14 = 62