Question

the measure of an angle is 8.9°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall supplementary - angle definition

Supplementary angles add up to 180°.
Let the given angle be \(x = 89^{\circ}\), and the supplementary angle be \(y\). Then \(x + y=180^{\circ}\).

Step2: Solve for the supplementary angle

We can rewrite the equation as \(y = 180^{\circ}-x\).
Substitute \(x = 89^{\circ}\) into the equation: \(y=180 - 89\).
\(y = 91^{\circ}\)

Answer:

91