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

Answer:
50 degrees
Step-by-step 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
Answer:
∠Q = 50°
Step-by-step 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°