Answer:
x = 9
Explanation:
<STU is an inscribed angle. The arc of an inscribed angle is always twice the amount of degrees compared to the inscribed angle.
2(5x-16) = (12x-50) <-- arc is twice the amount of the inscribed angle so you multiply the measure of the inscribed angle by 2 to set it equal to the arc measure
10x-32 = 12x-50 <-- distributed the 2 to both numbers
-2x = -18 <-- Addition/Subtraction Property of Equality
x = 9