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?

Answer 1

Answer:

NO" (and any subsequent words) was ignored because we limit queries to 32 words.

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A partial proof was constructed given that MNOP is a parallelogram

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

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