Question

Find the measure of MN. please help!!!!

Answer 1

Given:

A circle with center O.

$m\angle MOP=45^\circ, m\angle PON=85^\circ$.

To find:

The measure of arc MN.

Solution:

We know that,

$m\angle MON=m\angle MOP+m\angle PON$

$m\angle MON=45^\circ+85^\circ$

$m\angle MON=130^\circ$

The central angles in equal to the measure of the corresponding arc.

$Arc(MN)=m\angle MON$

$Arc(MN)=130^\circ$

Therefore, the measure of arc MN is 130 degrees.