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If N is in the interior of ZMPO, find mZNPO if mZMPN= 57° and mZMPO = 81º.

A. 24°
B. 43°
C. 91°
D 138°

If N is in the interior of ZMPO, find mZNPO if mZMPN= 57° and mZMPO = 81º. A. 24° B-example-1
User Nessa
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1 Answer

3 votes

Answer:

A

Explanation:

m∠MPN + m∠NPO = m∠MPO

m∠MPN is an acute angle. Because it's 57°, less than 90°

m∠AOC is 81° , so it's an acute angle, like m∠MPN

To find m∠NPO , just subtract m∠MPN from m∠MPO

81° = 57° + m∠NPO

m∠NPO = 81° - 57°

m∠NPO = 24°

Option A

So, m∠NPO is an acute angle. Because it's 24°, less than 90°

more about angles: Right angle = exactly 90° , Straight angle = exactly 180°, Full angle = exactly 360°

Hope this helps ^-^

User Frank LaRosa
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