Question

In circle P with m angle NPQ = 62, find the m angleNRQ

Answer 1

Since the measure of angle NPQ is 62°, the measure of arc QN is also 62°.

The measure of the intercepted arc QN is twice the measure of angle NRQ.

`\begin{gathered} m\angle NRQ=(1)/(2)arc\text{ QN} \\ m\angle NRQ=(1)/(2)(62\degree) \\ m\angle NRQ=31\degree \end{gathered}`

Therefore, the measure of the angle NRQ is 31°.