Find the value of x. A. 74 B. 244 C. 52 D. 64

Step-by-step explanation:

The formula you need to solve for angle x is:

∠x = 1/2(large arc - small arc)

We have enough info to find what we need to solve for the arcs. 58° is an inscribed angle. The rays of the angle cut off an arc on the circle and that arc measure is twice the measure of the angle. So the smaller arc is 58 * 2 = 116. Since around the outside of the circle measures 360°, then the larger arc measures 360 - 116 = 244. So the larger arc is 244. Filling in the formula to solve for the angle x:

∠x = 1/2(244 - 116) and

∠x = 1/2(128) so

∠x = 64

D is your answer.

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step-by-step explanation:

step-by-step explanation:

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