91Ó°ÊÓ

The given diagram is:

It is being given that $GRAM$ is a parallelogram.

Therefore, $GRâˆ\yen MA$ and $GMâˆ\yen RA$.

As, $GRâˆ\yen MA$ and $GM$ is a transversal and the angles $∠G$ and $∠M$ are the adjacent angles on the same side of a transversal.

Therefore, the sum of the angles $∠G$ and $∠M$ is $180°$.

Therefore, $∠G$ is supplementary to $∠M$.

Therefore, $∠G$ is supplementary to $∠M$ because these are the adjacent angles on the same side of a transversal and therefore their sum is $180°$.

The given diagram is:

It is being given that $GRAM$ is a parallelogram.

Therefore,$GRâˆ\yen MA$ and $GMâˆ\yen RA$.

As, $GMâˆ\yen RA$ and $MA$ is a transversal and the angles $∠M$ and $∠A$ are the adjacent angles on the same side of a transversal.

Therefore, the sum of the angles $∠M$ and $∠A$ is $180°$.

Therefore, $∠M$ is supplementary to $∠A$.

Therefore, $∠M$ is supplementary to $∠A$ because these are the adjacent angles on the same side of a transversal and therefore their sum is $180°$.

The given diagram is:

In the parallelogram the sum of the adjacent angles is $180°$ and the opposite angles have same measure.

Therefore, in parallelogram consecutive angles of a parallelogram are supplementary and opposite angles are congruent.

Consecutive angles of a parallelogram are supplementary, while opposite angles are congruent.