Answer:
58°
Step-by-step explanation:
The measure of an angle outside a circle formed by a secant and a tangent is equal to one-half the difference of the measures of the intercepted arcs.
The angle measure is 51°. This means that the difference of the measures of the intercepted arcs is
51(2) = 102°.
This gives us 160-x = 102.
To solve, first subtract 160 from each side:
160-x-160 = 102-160
-x = -58
Divide both sides by -1:
-x/-1 = -58/-1
x = 58°
