Question

In the figure below, if arc RS measures 100 degrees, what is the measure of angle Q?

Answer 1

∠Q = 50°

Explanation:

An inscribed angle whose vertex lies on a circle and whose sides are two chords of the circle is one half the measure of its intercepted arc.

arc RS is the intercepted arc, hence

∠Q = 0.5 × 100° = 50°

Answer 2

50 degrees

Explanation:

The measure of an inscribed angle of a circle is half the degree measure of the intercepted arc.

m<Q = (1/2)m(arc)RS

m<Q = (1/2)(100 degrees)

m<Q = 50 degrees