Question

the measure of an angle is 142.6°. what is the measure of its supplementary angle?
°
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Explanation:

Step1: Recall supplementary angles rule

Supplementary angles sum to \(180^\circ\). Let the supplementary angle be \(x\). So, \(142.6^\circ + x = 180^\circ\).

Step2: Solve for \(x\)

Subtract \(142.6^\circ\) from both sides: \(x = 180^\circ - 142.6^\circ\). Calculate the difference: \(180 - 142.6 = 37.4\). So, \(x = 37.4^\circ\).

Answer:

\(37.4\)