Question

the measure of an angle is 170.1°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall supplementary - angle definition

Supplementary angles add up to 180°.

Step2: Set up the equation

Let the given angle be \(x = 170.1^{\circ}\), and its supplementary angle be \(y\). Then \(x + y=180^{\circ}\).

Step3: Solve for the supplementary angle

\(y = 180^{\circ}-x=180^{\circ}- 170.1^{\circ}=9.9^{\circ}\)

Answer:

\(9.9^{\circ}\)