Question

angle pqr is a straight angle. the measure of angle pqs is 100°. the measure of angle sqr is x°. what is the value of x?

Explanation:

Step1: Recall the property of a straight angle

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

Step2: Substitute the given values into the equation

We know that \(\angle PQS = 100^{\circ}\) and \(\angle SQR=x^{\circ}\). Then the equation becomes \(100 + x=180\).

Step3: Solve for \(x\)

Subtract \(100\) from both sides of the equation: \(x=180 - 100\).

Answer:

\(x = 80\)