Question

the measure of an angle is 140.7°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall supplementary angles sum to 180°

Supplementary angles add up to \(180^\circ\). Let the supplementary angle be \(x\). So, \(140.7^\circ + x = 180^\circ\).

Step2: Solve for x

Subtract \(140.7^\circ\) from both sides: \(x = 180^\circ - 140.7^\circ\). Calculate the difference: \(180 - 140.7 = 39.3\). So, \(x = 39.3^\circ\).

Answer:

\(39.3\)