Answer:
Explanation:
Two angles whose sum is 180° are called supplementary angles. The value of x is 10, while the value of z is 96.
What are supplementary angles?
Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
The measure of ∠Z will be equal to 96° because ∠AOB and ∠COD are vertically opposite angles.
The sum of the measure of ∠AOB and ∠BOC will be equal to 180°, since both lie on the same line, therefore,
∠AOB + ∠BOC = 180°
96° + (14x - 56)° = 180°
14x - 56 = 180 - 96
14x = 140
x = 10°
Hence, the value of x is 10, while the value of z is 96.