Answer:
mMN + 150 = 180
Step-by-step explanation:
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.
Given that:
NO is the radius and ∠NOP = 150°.
The angle addition postulate which states that a larger angle is formed when two smaller angles are placed side by side. If two angle x and y are small angles placed side by side, a big angle Z formed is given as:
z = x + y.
Therefore in circle O, using angle addition postulate:
mMN + ∠NOP = mMP
But mMP = 180° (angle on a straight line)
mMN + ∠NOP = 180°
mMN + 150 = 180
