Question

in circle n with the measure of arc \\(\overarc{mp} = 114^\circ\\), find \\(m\angle mnp\\).
answer attempt 1 out of 3
\\(m\angle mnp = \square^\circ\\)

Explanation:

Step1: Recall central angle theorem

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

Step2: Identify angle and arc

$\angle MNP$ is a central angle intercepting arc $MP$. So $m\angle MNP = m\overset{\frown}{MP}$.

Step3: Substitute arc measure

Given $m\overset{\frown}{MP} = 114^\circ$, so $m\angle MNP = 114^\circ$.

Answer:

$114$