Answered

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 :

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°

shristiparmar1221

This question is based on the parallelogram. Therefore, the correct option is ∠N ≅ ∠P.

Given:

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.

We have to  fill the blank  with appropriate option.

According to question,

In parallelogram MNOP,

MN ∥ PO and MP ∥ NO

Hence, it is given that  all the  angles are supplementary.

Therefore,  any angel equals to  180° but not less than 90°, so they are supplementary angles. This means N<= 180°, P<= 180°.

Hence, the correct option is ∠N ≅ ∠P.

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https://brainly.com/question/10685583