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.
[tex]\begin{gathered} m\angle NRQ=\frac{1}{2}arc\text{ QN} \\ m\angle NRQ=\frac{1}{2}(62\degree) \\ m\angle NRQ=31\degree \end{gathered}[/tex]
Therefore, the measure of the angle NRQ is 31°.
