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If point N is in the interior of ZMPO, find mZNPO if mZMPN = 57° and mZMPO = 64º.

A) 7°
B) 24°
C) 57°
D) 640°

1 Answer

5 votes

Final answer:

To find the measure of angle ZNPO, subtract the measure of angle ZMPN from the measure of angle ZMPO, which results in 7º.

Step-by-step explanation:

If point N is in the interior of ∅MPO, and you know the measures of ∡ZMPN and ∡ZMPO, you can find m∡ZNPO by subtracting the measure of ∡ZMPN from the measure of ∡ZMPO. Here’s how you calculate it:

  • m∡ZNPO = m∡ZMPO - m∡ZMPN
  • m∡ZNPO = 64º - 57º
  • m∡ZNPO = 7º

Therefore, the measure of angle ZNPO is 7º.

User El Fadel Anas
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