Answer: x = 2 and z=78
Step-by-step explanation:
Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent (equal in measure). Z is Opposite to 78 angle, so z=78.
Adjacent angles add up to 180 degrees, and 78 and (5x + 92) are adyacents so:
5x + 92 + 78 = 180
5x + 170 = 180
5x = 180 - 170
5x = 10
x = 10/5
x = 2
