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Ray OP stands on line MN at O. Angle MOP = $(4 x - 5)$ deg and angle NOP = $(x + 15)$ deg.
First find $x$ , then find angle MOP.

Class 9Linear Pair and Vertically Opposite AnglesGeometry — Lines and Angles

A131
B262
C146
D116

Step-by-Step Solution

Linear pair:

(4 x - 5) + (x + 15) = 180, 5 x + 10 = 180, 5 x = 170, x = 34

. Then angle MOP =

4 (34) - 5 = 136 - 5 = 131

deg.

Answer: A) 131

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