Question

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

Explanation:

Step1: Recall the property of a straight angle

A straight angle measures \(180^{\circ}\). So, \(\angle PQR = 180^{\circ}\), and \(\angle PQR=\angle PQS+\angle SQR\).

Step2: Substitute the known values into the equation

We know that \(\angle SQR = 65^{\circ}\) and \(\angle PQS=x^{\circ}\). Then \(180=x + 65\).

Step3: Solve for \(x\)

Subtract \(65\) from both sides of the equation: \(x=180 - 65\).
\(x = 115\)

Answer:

\(115\)