Answer:
x = 6
Step-by-step explanation:
∠WVU is a tangent- tangent angle whose measure is
0.5( major arc WU - minor arc WU), that is
0.5(37x + 5 - (23x - 5) ) = 5x + 17 ← distribute inner parenthesis
0.5(37x + 5 - 23x + 5) = 5x + 17 ← simplify
0.5(14x + 10) = 5x + 17 ← distribute parenthesis
7x + 5 = 5x + 17 ( subtract 5x from both sides )
2x + 5 = 17 ( subtract 5 from both sides )
2x = 12 ( divide both sides by 2 )
x = 6
