Question

Find the value of y and x.

Answer 1

The answer for this is y= 65 degrees and x= 130 degrees

Answer 2

• x = 130°
• y = 65°

Explanation:

All inscribed angles intercepting the same arc have the same measure.

If you slide the vertex of angle y clockwise around the circle until it coincides with the vertex of the angle marked 65°, you see that those two inscribed angles (y and 65°) intercept the same arc, so have the same measure:

y = 65°.

The measure of an inscribed angle is half the measure of the intercepted arc, so the arc marked x is double the angle 65°.

x = 130°.