Question

in parallelogram pqrs if m∠qrs = 45° find m∠spq.

Explanation:

Step1: Recall parallelogram angle property

In a parallelogram, opposite angles are congruent (equal in measure).

Step2: Match the given and target angles

$\angle QRS$ and $\angle SPQ$ are opposite angles in parallelogram $PQRS$. So $m\angle SPQ = m\angle QRS$.

Step3: Substitute the given angle value

$m\angle SPQ = 45^\circ$

Answer:

$45^\circ$