Question

(Inscribed Angles)

What is the value of p?

-50

-60

-100

-30

Answer 1

(D) 30 degrees

Explanation:

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint.

Theorem(Inscribed Angles Conjecture I): In a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc.

By the theorem above and from the attached diagram,

Inscribed Angle p =Half of 60 degrees

`\angle p=0.5 X 60^\circ\\p=30^\circ`

The correct option is D.