Question

the measure of an angle is 42°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles add up to \(180^{\circ}\). Let the given angle be \(A = 42^{\circ}\) and its supplementary angle be \(B\). Then \(A + B=180^{\circ}\).

Step2: Solve for the supplementary angle

We can find \(B\) by subtracting \(A\) from \(180^{\circ}\). So \(B = 180^{\circ}-A\). Substitute \(A = 42^{\circ}\) into the formula: \(B=180^{\circ}- 42^{\circ}\).

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Answer:

\(138\)