Question

if ∠pqr measures 75°, what is the measure of ∠sqr?
○ 22°
○ 45°
○ 53°
○ 97°

Explanation:

Step1: Identify angle relationship

We know that $\angle PQR = \angle PQS + \angle SQR$. Given $\angle PQR = 75^\circ$ and $\angle PQS = 22^\circ$.

Step2: Solve for $\angle SQR$

Using the formula $\angle SQR=\angle PQR - \angle PQS$, substitute the values: $\angle SQR = 75^\circ - 22^\circ = 53^\circ$.

Answer:

$53^\circ$ (corresponding to the option with $53^\circ$)