Question

angle pqr is a right angle. the measure of angle sqr is 65°. the measure of angle pqs is x°. what is the value of x? x =

Explanation:

Step1: Recall angle - addition property

Since $\angle PQR$ is a right - angle ($90^{\circ}$) and $\angle PQR=\angle PQS+\angle SQR$.

Step2: Substitute known values

We know that $\angle SQR = 65^{\circ}$ and $\angle PQR=90^{\circ}$, so $90^{\circ}=x^{\circ}+65^{\circ}$.

Step3: Solve for $x$

Subtract $65^{\circ}$ from both sides of the equation: $x = 90 - 65$.

Answer:

$x = 25$