Question

the measure of an angle is 169°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall supplementary angles sum to 180°

Supplementary angles have a sum of \(180^\circ\). Let the supplementary angle be \(x\).

Step2: Set up the equation and solve

We know the given angle is \(169^\circ\), so the equation is \(169^\circ + x = 180^\circ\). To find \(x\), we subtract \(169^\circ\) from both sides: \(x = 180^\circ - 169^\circ\).
Calculating the right side: \(180 - 169 = 11\), so \(x = 11^\circ\).

Answer:

\(11\)