9514 1404 393
Answer:
(x, y, z) = (90, 75, 105)
Step-by-step explanation:
In a parallelogram, adjacent angles are supplementary, and opposite angles are congruent.
(x -15) +(x +15) = 180
2x = 180
x = 90
Angles y and (x-15) are opposites, so ...
y = x -15 = 90 -15 = 75
Similarly, for z ...
z = x +15 = 90 +15 = 105
The values of x, y, and z are 90, 75, and 105, respectively.