Question

the measure of an angle is 157°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall supplementary angles property

Supplementary angles add up to \(180^\circ\). Let the supplementary angle be \(x\). So, \(157^\circ + x = 180^\circ\).

Step2: Solve for \(x\)

Subtract \(157^\circ\) from both sides: \(x = 180^\circ - 157^\circ\). Calculate the right - hand side: \(180 - 157 = 23\). So \(x = 23^\circ\).

Answer:

\(23\)