Answer:
x= 6
Explanation:
Given:
V is an exterior angle and
VW and VU are tangents to the circle
We know that
∠V= (major arc WU- minor arc WU)/ 2, substitute what is given in the picture
5x+17 = [(37x+5) - (23x -5)] /2, open parenthesis and distribute negative sign
5x+17 = (37x +5 - 23x +5) /2, combine like terms
5x +17 = (14x +10)/2, multiply both sides by 2 and simplify 2/2=1
2(5x +17) = 14x +10, distribute 2 over the (5x+17) parenthesis
10x + 34 = 14x +10, isolate like terms
10x -14x = 10 -34, combine like terms
-4x = -24
x = 6