Question

angle pqr is a right angle.
the measure of angle pqs is 65°.
the measure of angle sqr is x°.
what is the value of x?
(there is an image showing the angles with point q, right angle at q for pqr, angle pqs is 65°, and angle sqr is x°)

Explanation:

Step1: Identify angle sum

Since ∠PQR is right (90°), ∠PQS + ∠SQR = 90°.

Step2: Substitute known angle

Given ∠PQS = 65°, so \( x + 65 = 90 \).

Step3: Solve for x

Subtract 65 from both sides: \( x = 90 - 65 = 25 \).

Answer:

25