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

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

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

Answer

Explanation:

Step1: Identify angle - relationship

We know that (\angle PQR=\angle PQS+\angle SQR).

Step2: Rearrange the formula

(\angle SQR=\angle PQR - \angle PQS).

Step3: Substitute the given values

Given (\angle PQR = 75^{\circ}) and (\angle PQS=22^{\circ}), then (\angle SQR=75^{\circ}- 22^{\circ}=53^{\circ}).

Answer:

C. (53^{\circ})