Which angle is supplementary to ∠MPN?
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 ∠NPL
b ∠LPM
c ∠IPK
d ∠KPL
To find the supplementary angle to ∠MPN, we need to find an angle that, when added to ∠MPN, equals 180 degrees.
Since ∠MPN measures 124.4 degrees, the supplementary angle will be:
180 - 124.4 = 55.6 degrees
Looking at the given angles, the only angle that measures 55.6 degrees is ∠NPI. Therefore, ∠NPI is supplementary to ∠MPN.
Answer: c ∠IPK