Question

1. in circle q, ( moverparen{pr}=66^{circ} ), find ( mangle pqr ). ( mangle pqr=square^{circ} )

Explanation:

Step1: Recall the central - angle theorem

The measure of a central angle is equal to the measure of its intercepted arc.

Step2: Identify the central angle and the intercepted arc

In circle \(Q\), \(\angle PQR\) is a central angle and \(\overset{\frown}{PR}\) is its intercepted arc.
Given \(m\overset{\frown}{PR} = 66^{\circ}\).
Since \(m\angle PQR=m\overset{\frown}{PR}\) (by the central - angle theorem).

Answer:

\(66\)