Answer:
X=63
Y=63
Z=72
Explanation:
The value for angle X
X + 85 + 32 = 180°
X + 117 = 180°
X = 180° - 117°
X = 63°
Since <x and <y are vertically opposite
<X and <Y = 63°
Remember vertically opposite are the same.
The value for angle z
Z + 45 + Y = 180°
Z + 45 + 63 = 180°
Z° + 108° = 180° - 108°
Z = 72°
Therefore
Value for X = 63°
Value for Y = 63°
Value for Z = 72°