Question

in parallelogram pqrs if ( mangle qrs = 45^{circ} ) find ( mangle spq ).

Explanation:

Step1: Recall property of parallelogram

In a parallelogram, opposite angles are equal.

Step2: Identify opposite angles

In parallelogram \(PQRS\), \(\angle QRS\) and \(\angle SPQ\) are opposite angles.

Step3: Apply the property

Since \(\angle QRS = 45^{\circ}\), then \(m\angle SPQ=m\angle QRS\)

Answer:

\(45^{\circ}\)