Question

the measure of an angle is 135°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall supplement - angle definition

Supplementary angles add up to 180°.

Step2: Set up subtraction

Let the given angle be \(A = 135^{\circ}\), and the supplementary angle be \(x\). Then \(x=180^{\circ}-A\).

Step3: Calculate

\(x = 180^{\circ}-135^{\circ}=45^{\circ}\)

Answer:

\(45^{\circ}\)