Question

if $\angle pqr$ measures $75^\circ$, what is the measure of $\angle sqr$?
$\bigcirc$ $22^\circ$
$\bigcirc$ $45^\circ$
$\bigcirc$ $53^\circ$
$\bigcirc$ $97^\circ$

Explanation:

Step1: Identify angle relationship

∠PQR is the sum of ∠PQS and ∠SQR. Given ∠PQR = 75° and ∠PQS = 22°, we can find ∠SQR by subtraction.

Step2: Calculate ∠SQR

Using the formula ∠SQR = ∠PQR - ∠PQS. Substitute the values: ∠SQR = 75° - 22° = 53°.

Answer:

53° (corresponding to the option "53°")