What is the measure of MOP?

Question

asked Oct 25, 2018 113k views

2 Answers

Mairin · Answer 1 · 2018-10-31T18:55:28+0000

Answer:

(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.