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

Answer: last notation is right N =~ P

Step-by-step explanation: this is because any angle equals 180° but not less than 90° are regarded as supplementary angles. This means N<= 180°, P<= 180°

Answer 2

Answer:

∠N ≅ ∠P

Step-by-step explanation:

It is proved that ∠N and ∠O are supplementary, and ∠P and ∠O are also supplementary. Therefore, ∠N is congruent to ∠P because they are supplements of the same angle ∠O. In the figure attached, the parallelogram MNOP is shown.