Question

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

Answer 1

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

              = $\frac{1}{2}(40+110)$

              = 75°

Therefore, Option (2) will be the answer.