In circle K shown, the measure of NPL is twice the measure of NL . Which of the following is the measure
of NML ?

Please consider the complete question.

Let x represent measure of arc NL.

We have been given that measure of arc NPL is twice the measure of arc NL. So measure of arc NPL would be .

We know that measure of all arcs in a circle is equal to 360 degrees, so we can set an equation as:

Upon substituting measure of both arcs, we will get:

The measure of arc NPL would be .

We can see that angle NML is inscribed angle of arc NPL. We know that measure of an inscribed angle is half the measure of intercepted arc.

Therefore, the measure of angle NML is 120 degrees and 3rd option is the correct choice.

b and c

step-by-step explanation: