Question

A partial proof was constructed given that MNOP is a parallelogram.

Parallelogram M N O P is shown. By the definition of a parallelogram,
MN ∥ PO and MP ∥ NO.

Using MP as a transversal, ∠M and ∠P are same-side interior angles, so they are supplementary.

Using NO as a transversal, ∠N and ∠O are same-side interior angles, so they are supplementary.

Using OP as a transversal, ∠O and ∠P are same-side interior angles, so they are supplementary.

Therefore, __________________ because they are supplements of the same angle.

Which statement should fill in the blank in the last line of the proof?

∠M is supplementary to ∠O
∠N is supplementary to ∠P
∠M ≅ ∠P
∠N ≅ ∠P

Answer 1

∠N ≅ ∠P

Reason: ∠N and ∠P are each supplementary to ∠O, so they are congruent as supplements of the same angle.