Answer:
A) 1/2(238-x) = 58
Explanation:
When an angle is formed by two secants, a tangent and a secant, or two tangents of a circle, the measure of this angle is one-half of the difference between the intercepted arcs.
In this circle, the intercepted arc measures are 238° and x°. Their difference would be (238-x). One-half of this would be 1/2(238-x). This is equal to the angle measure, which is 58°. This gives us the equation
1/2(238-x) = 58