Question

the measure of an angle is 92°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall supplementary angles definition

Supplementary angles sum to \(180^\circ\). Let the supplementary angle be \(x\). So, \(92^\circ + x = 180^\circ\).

Step2: Solve for \(x\)

Subtract \(92^\circ\) from both sides: \(x = 180^\circ - 92^\circ\). Calculate \(180 - 92 = 88\), so \(x = 88^\circ\).

Answer:

\(88^\circ\)