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goldenfox [79]
3 years ago
5

What is the measure of MOP?

Mathematics
2 answers:
Archy [21]3 years ago
6 0
Angle MON is a straight angle and OP -> bisects <MOQ
What is the measure of <MOP?
it would be 61 degrees
I hope this helps.

Vadim26 [7]3 years ago
4 0

Answer:

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

Step-by-step 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.

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