Question

What is the value of x?

x =

Answer 1

x = 58

Explanation:

The angle 51° outside the circle whose sides are a tangent and a secant is

equal to half the difference of the intercepted arcs, that is

51 = 0.5 (160 - x) ← multiply both sides by 2

160 - x = 102 ( subtract 160 from both sides )

- x = -58 ( multiply both sides by - 1 )

x = 58