Question

the measure of an angle is 67.1°. 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 \(A = 67.1^{\circ}\) and its supplementary angle be \(B\). Then \(A + B=180^{\circ}\).

Step2: Solve for \(B\)

We can express \(B\) as \(B = 180^{\circ}-A\). Substitute \(A = 67.1^{\circ}\) into the formula: \(B=180^{\circ}- 67.1^{\circ}\).

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Answer:

\(112.9^{\circ}\)