Question

Point C is the center of the circle. If angle ACB measures (5x + 10)° and arc AB measures (x + 50)° , find x.

7

8

9

10

Answer 1

Because the angle ACB is a central angle, and it intersect arc AB, their values are equal, so

(5x + 10)° = (x + 50)°.

5x+10=x+50

4x=40

x=10