Answer:
x = 6
Step-by-step explanation:
∠WVU lies outside the circle and the sides are tangents. The measure of the tangent- tangent angle is
∠WVU = 0.5( major arc - minor arc), that is
5x + 17 = 0.5(37x + 5 - (23x - 5)) = 0.5(37x + 5 - 23x + 5) = 0.5(14x + 10), so
5x + 17 = 7x + 5 ( subtract 7x from both sides )
- 2x + 17 = 5 ( subtract 17 from both sides )
- 2x = - 12 ( divide both sides by - 2 )
x = 6
