Question

Angle C is an inscribed angle of circle P. Angle C measures (x + 8) degrees and arc AB measures (-8x) degrees. Find x

Answer 1

The Power of Points Theorem states that the measure of angle C is half the measure of arc AB. So:

x + 8 = 1/2 * (-8x)

x + 8 = -4x

x = -5/8