Answer:
Therefore
[tex]m(arc\ MN)+150 = 180[/tex] ..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°
[tex]m(arc\ MN)+m(arc\ NP) = 180[/tex] Addition Property
Substituting the values we get
[tex]m(arc\ MN)+150 = 180[/tex] ......As required
Therefore
[tex]m(arc\ MN)+150 = 180[/tex] ..Equation is used to find mArc MN
Answer:
A. mArc M N + 150 = 180
Step-by-step explanation:
