Question

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

Explanation:

Step1: Analyze the relationship between angles

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: \(\angle SQR=75^{\circ}- 22^{\circ}\).

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Answer:

\(53^{\circ}\) (corresponding to the third option in the multiple - choice list)