In circle Q with the measure of arc arc, P, R, equals, 118, degrees

PR


=118

, find m, angle, P, Q, Rm∠PQR.

To find the measure of angle PQR (m∠PQR), we can use the property that the measure of an inscribed angle is half the measure of the intercepted arc.

Since arc PR has a measure of 118 degrees, m∠PQR = 118/2 = 59 degrees.