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Which angle is supplementary to ∠NPI?

five angles all with common vertex of P, with angle NPI measuring 55.6 degrees, angle IPK measuring 44.2 degrees, angle KPL measuring 80.2 degrees, angle LPM measuring 55.6 degrees, and angle MPN measuring 124.4 degrees

∠IPK
∠NPL
∠MPN
∠LPM

Respuesta :

ag4037895

Answer:

the correct angle to the problem is < IPK because that is the answer i got when i solved it

semsee45

Answer:

c.   ∠MPN

Step-by-step explanation:

Supplementary angles sum to 180°.  

(Note that supplementary angles don't have to be next to each other).

Given ∠NPI = 55.6°.

Therefore, to find the measure of the angle that is supplementary to ∠NPI, subtract the measure of ∠NPI from 180°:

⇒ 180° - ∠NPI = 180° - 55.6° = 124.4°.

The angle that measures 124.4° is ∠MPN.  

Therefore, ∠MPN is supplementary to ∠NPI.

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