Question

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

Answer 1

Option (2)

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 =
`(1)/(2)[m(\text{arc MN}) + m(\text{arc OL})]`

=
`(1)/(2)(40+110)`

= 75°

Therefore, Option (2) will be the answer.