Answer:
x = 58
Step-by-step explanation:
The secant- tangent angle 51° is one half the difference of the measure of the intercepted arcs, that is
[tex]\frac{1}{2}[/tex] (160 - x) = 51
Multiply both sides by 2 to clear the fraction
160 - x = 102 ( subtract 160 from both sides )
- x = - 58 ( multiply both sides by - 1 )
x = 58