Question

30 POINTS!!!

Find the value of x.
(Note: The line passing through the center of the circle is a diameter.)

115
117
121
130

Answer 1

115

Explanation:

The measure of x is half the sum of the intercepted arcs. The arc on the left is a semicircle, so 180°.

The arc on the right is the difference between 180° and the two arcs shown, 60° and 70°, so is 180° -60° -70° = 50°.

Then half the sum of the intercepted arcs is ...

x° = (180° +50°)/2 = 230°/2 = 115°

x = 115