Answer:
x = 38
Step-by-step explanation:
The chord- chord angle HWO is half the sum of the arcs intercepted by the angle and its vertical angle, that is
[tex]\frac{1}{2}[/tex] (x - 2 + x + 6) = 40 ( multiply both sides by 2 to clear the fraction )
2x + 4 = 80 ( subtract 4 from both sides )
2x = 76 ( divide both sides by 2 )
x = 38
