Question

Segment MP is a diameter of circle O.

Answer 1

Answer:

Therefore

$m(arc\ MN)+150 = 180$    ..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°

$m(arc\ MN)+m(arc\ NP) = 180$     Addition Property

Substituting the values we get

$m(arc\ MN)+150 = 180$ ......As required

Therefore

$m(arc\ MN)+150 = 180$    ..Equation is used to find mArc MN