Question

1. find the measure of each angle in square pqrs.

each angle is $90^\circ$

Explanation:

Step1: Recall square angle property

A square has 4 congruent interior angles.

Step2: Sum of polygon interior angles

Sum of interior angles of an $n$-sided polygon: $(n-2)\times180^\circ$. For $n=4$, sum $=(4-2)\times180^\circ=360^\circ$.

Step3: Calculate one interior angle

Divide total sum by 4: $\frac{360^\circ}{4}=90^\circ$

Answer:

Each interior angle of square PQRS measures $90^\circ$ (i.e., $\angle P = \angle Q = \angle R = \angle S = 90^\circ$)