Answer:
x = 58
Step-by-step explanation:
Given an angle outside a circle formed by a tangent and a secant then
angle = [tex]\frac{1}{2}[/tex] difference of the measures of the intercepted arcs, that is
51 = [tex]\frac{1}{2}[/tex] (160 - x) ← multiply both sides by 2
160 - x = 102 ( subtract 160 from both sides )
- x = - 58 ( multiply both sides by - 1 )
x = 58
