Question

angle pqr is a right angle. the measure of angle sqr is 50°. the measure of angle pqs is x°. what is the value of x?

Explanation:

Step1: Analyze the relationship between angles

Since \( \angle PQR = 90^{\circ}\) and \( \angle PQR=\angle PQS+\angle SQR\).

Step2: Substitute the known values

We know that \( \angle SQR = 50^{\circ}\), and let \( \angle PQS=x^{\circ}\). Then \(90=x + 50\).

Step3: Solve for \(x\)

Subtract \(50\) from both sides of the equation: \(x=90 - 50\).

Answer:

\(x = 40\)