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Angle MON is a straight angle and OP bisects ZMOQ. What is the measure of ZMOP? 29° 580 61° 58° 122° M N

Angle MON is a straight angle and OP bisects ZMOQ. What is the measure of ZMOP? 29° 580 61° 58° 122° M-example-1

1 Answer

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Angle MON is a straight angle

So, the measure of MON = 180

but we have the measure of NOQ = 58

so, the measure of MOQ = 180 - 58 = 122

and also, OP bisects the angle MOQ

so, the measure of the angle MOP = the measure of the angle POQ

so, the measure of the angle MOP = 122/2 = 61

So, the answer is option 3: 61

User Corky
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