Answer:
x = 6
Step-by-step explanation:
the tangent- tangent angle UVW is half the difference of the intercepted arcs, that is
∠ UVW = [tex]\frac{1}{2}[/tex] (UW - WU ) , then
5x + 17 = [tex]\frac{1}{2}[/tex] (37x + 5 - (23x - 5) ) ← multiply both sides by 2
10x + 34 = 37x + 5 - 23x + 5
10x + 34 = 14x + 10 ( subtract 14x from both sides )
- 4x + 34 = 10 ( subtract 34 from both sides )
- 4x = - 24 ( divide both sides by - 4 )
x = 6
