Answer:
mWV = 167°
Step-by-step explanation:
In the figure attached the graph of the problem is shown. Given that segments UV and WV are congruent, then arcs UV and WV are also congruent. So:
mUV = mWV
8x - 17 = 5x + 52
8x - 5x = 52 + 17
3x = 69
x = 69/3
x = 23
Therefore:
mWV = 5*23 + 52 = 167°