Answer:
x = 50
Step-by-step explanation:
The chord- chord angle is half the sum of the arcs intercepted by the angle and its vertical angle, that is
[tex]\frac{1}{2}[/tex](x + 110) = 80 ← multiply both sides by 2 to clear the fraction
x + 110 = 160 ( subtract 110 from both sides )
x = 50