Question

angle c is an inscribed angle of circle p, angle c measures (20x-5) and arc ab measures (30x+30). find angle c.

Answer 1

The key to this problem is knowing the relationship between the measure of an inscribed angle and the arc it intercepts. Look at the figure below:

Answer 2

Now use the relationship from the second figure to write an equation. Then solve for x. Then insert the value of x in 20x - 5 to find the measure of angle C.

Answer 3

@savannah98

Illustration of the theorem is attached