Answer:

Explanation: id pqrs is a parelleogram

opposite angles are equal

so AngleQ and AngleS are equal

in trianglePSR

AngleRPS+AnglePRS+AngleRSP=180

40+AnglePRS+50=180

90+AnglePRS=180

AnglePRS=90

Verified answer

In a parallelogram, consecutive angles are supplementary.

Given:

∠SPR = 40

∠RQP = 50°

In a parallelogram, opposite angles are equal. Therefore, ∠SPR=∠RPQ and ∠RQP=∠PSR

As ∠SPR = ∠RPQ = 40° and ∠RQP = ∠PSR=50°, the angles in the parallelogram are identified.

Now, to find ∠PRS:

∠PRS=180° - ∠SPR -  ∠PSR

Given that ∠SPR = 40° and ∠PSR = 50°:

∠PRS= 180°-40°-50°

∠PRS= 180°-90°

∠PRS = 90°

Hence, PRS = 90°.