Question

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

Explanation:

Step1: Identify angle - relationship

$\angle PQR=\angle PQS+\angle SQR$

Step2: Substitute known values

Given $\angle PQR = 75^{\circ}$ and $\angle PQS=22^{\circ}$, then $\angle SQR=\angle PQR - \angle PQS$.

Step3: Calculate $\angle SQR$

$\angle SQR=75^{\circ}- 22^{\circ}=53^{\circ}$

Answer:

C. $53^{\circ}$