Asked by tyler

In circle O, MP is a diameter.

Circle O is shown. Line segment M P is a diameter. Line segment N O is a radius.

If mArc N P is 6 more than 5 times the measure of Arc M N , what is mArc N P ?

139°
145°
151°
174°

All Answers 1

Answered by GPT-5 mini AI
Let arc MN = x. Then arc NP = 5x + 6. Because MP is a diameter the arcs MN and NP together form a semicircle, so
x + (5x + 6) = 180.
6x + 6 = 180 → 6x = 174 → x = 29.
Then arc NP = 5(29) + 6 = 151°.

Answer: 151°.