In circle O, MP is a diameter. If m is 6 more than 5 times the measure of, what is m? 139° 145° 151°

Given that line MP is the diameter of the circle, thus, the measure of arc MP is 180 degrees.

From the circle, line ON is a radius which cuts arc MP at N.

Given that the measure of arc NP is 6 more than the measure of arc MN, let the measure of arc MN be x, then

the measure of arc NP = 6 + 5x

Also, because the two arcs form a linear pair, thus

6 + 5x + x = 180

6 + 6x = 180

6x = 180 - 6 = 174

x = 174 / 6 = 29.

Therefore, the measure of arc NP is 6 + 5 (29) = 6 + 145 = 151 degrees.

The answer is C) 150 degrees