Question

Angle C is an inscribed angle of circle P. Angle C measure (5x-7) and arc AB measure (2x). Find X

Answer 1

Explanation:

Assuming that arc AB is where the inscribed angle meets the outside of the circle, then the rule is that the inscribed angle is 1/2 of the measure of its intercepted arc. For us,

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

Solving for x:

2(5x - 7) = 2x so

10x - 14 = 2x and

8x = 14 so

x = 1.75