Segment MP is a diameter of circle O.

Circle O is shown. Line segment M P is a diameter. Line segment N O is a radius. Angle N O P is 150 degrees.

Which equation can be used to find mArc M N?

mArc M N + 150 = 180

mArc M N + 150 = 360

mArc M N – 150 = 180

mArc M N – 150 = 360

Therefore

   ..Equation is used to find mArc MN

Step-by-step explanation:

Given:

Circle O,

Segment MP is a diameter of circle O.

Line segment N O is a radius.

∠NOP = 150°

To Find:

Equation for m Arc MN = ?

Solution:

We know Diameter subtends 180° as it is the half of Circle 360°

∠NOP = 150°         ...Given

∴ m(Arc NP) = 150°  ......measure of arc is the measure of its central angle

Therefore,

m Arc Diameter = 180°

    Addition Property

Substituting the values we get

......As required

Therefore

   ..Equation is used to find mArc MN

no, because the sides are not congruent