The two chords shown in the circle intercept the given arcs.
What is the measure of MPN?

Answer:
Option (2)
Step-by-step explanation:
If two chords intersect inside the circle, measure of angle between them is half of the sum of intercepted arcs.
From the picture attached,
m∠MPN = [tex]\frac{1}{2}[m(\text{arc MN}) + m(\text{arc OL})][/tex]
= [tex]\frac{1}{2}(40+110)[/tex]
= 75°
Therefore, Option (2) will be the answer.