Question

Angle C is an inscribed angle of circle P. Angle C measures (5x – 7)° and arc AB measures (2x)° . Find x.

Answer 1

m∠C = (1/2)(m arc AB), because ∠C is an inscribed angle.

(5x-7) = (1/2)(2x)

5x-7 =x

4x = 7

x= 7/4 or 1.75