Question

the measure of an angle is 156.8°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall supplementary angles property

Supplementary angles sum to \(180^\circ\). Let the supplementary angle be \(x\). So, \(156.8^\circ + x = 180^\circ\).

Step2: Solve for \(x\)

Subtract \(156.8^\circ\) from both sides: \(x = 180^\circ - 156.8^\circ\). Calculate the difference: \(180 - 156.8 = 23.2\). So, \(x = 23.2^\circ\).

Answer:

\(23.2\)