Question

What is the measure of MOP?

Answer 1

Answer: C - 61°

Step-by-step explanation: edge

Answer 2

(C)
`{\angle}MOP=61^(\circ)`

Explanation:

Given: It is given that angle MON is a straight angle and OP is bisects angle MOQ.

To find: The measure of the angle MOP.

Solution: It is given that angle MON is a straight angle and OP is bisects angle MOQ.

Thus, using the straight line property, we get

`{\angle}MOP+{\angle}POQ+{\angle}QON=180^(\circ)`

`2{\angle}MOP+{\angle}QON=180^(\circ)`

Substituting the given values, we get

`2{\angle}MOP+58^(\circ)=180^(\circ)`

`2{\angle}MOP=122^(\circ)`

`{\angle}MOP=61^(\circ)`

Hence, option (C) is correct.