Question

Find the measure of the arc or angle indicated​

Answer 1

Explanation:

Let O be the center of the circle

We have Angle YOW = 125°

and Angle WOX = 121°.

Therefore Angle YOX = 360° - 125° - 121° = 114°.

(Sum of angles around a point is 360°)

Since Angle at Center = 2 * Angle at Circumference,

Angle YWX

= 0.5 * Angle YOX = 0.5 * 114° = 57°. (A)