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12345 [234]
2 years ago
14

Segment MP is a diameter of circle O.

Mathematics
1 answer:
Vlada [557]2 years ago
7 0

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

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