Question

the measure of an angle is 16°. 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, \(16^\circ + x = 180^\circ\).

Step2: Solve for \(x\)

Subtract \(16^\circ\) from both sides: \(x = 180^\circ - 16^\circ\). Calculate \(180 - 16 = 164\), so \(x = 164^\circ\).

Answer:

\(164\)