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
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).