9w276yxyy3
9w276yxyy3 9w276yxyy3
  • 11-03-2021
  • Mathematics
contestada

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

The two chords shown in the circle intercept the given arcs What is the measure of MPN class=

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eudora eudora
  • 16-03-2021

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.

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