Answer:
[tex]m\angle SQR=53^{\circ}[/tex]
Step-by-step explanation:
We have been given an image of triangle PQR. We are asked to find the measure of angle SQR.
We can see that measure of angle PQR is equal to measure of PQS plus measure of angle SQR.
[tex]m\angle PQR=m\angle PQS+m\angle SQR[/tex]
[tex]75^{\circ}=22^{\circ}+m\angle SQR[/tex]
[tex]75^{\circ}-22^{\circ}=22^{\circ}-22^{\circ}+m\angle SQR[/tex]
[tex]53^{\circ}=m\angle SQR[/tex]
Therefore, the measure of angle SQR is 53 degrees.
