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The angles measuring (9x -57) and (5x + 11) are vertical angles, so their measures are equal.
Using this fact, we can solve for x.
9x - 57 = 5x +11
9x - 5x = 11 +57
4x = 68
68
X =
4
X = 17
The angles that measure z and (9x -57) are supplementary.
z+ (9x- 57) = 180
Substituting x = 17 into this equation, we can solve for z.
z+ (9.17-57) = 180
z +96 = 180
Z = 180 -96
Z = 84
O
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- Fall '16
- Mrs.Gaines