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Which angle is supplementary to ∠NPI?

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

a) ∠IPK

b) ∠NPL

c) ∠MPN

d) ∠LPM

1 answer

To find the angle that is supplementary to ∠NPI, we need to find the angle that adds up to 180 degrees with ∠NPI.

∠NPI = 55.6 degrees

So, the supplementary angle will be 180 - 55.6 = 124.4 degrees.

Looking at the given options:
a) ∠IPK = 44.2 degrees
b) ∠NPL = 80.2 degrees
c) ∠MPN = 124.4 degrees
d) ∠LPM = 55.6 degrees

Thus, the angle that is supplementary to ∠NPI is ∠MPN (c).
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