Question

the measure of an angle is 57.4°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall supplementary angle definition

Supplementary angles sum to \(180^\circ\). Let the angle be \(A = 57.4^\circ\) and its supplement be \(B\). So, \(A + B=180^\circ\).

Step2: Solve for the supplementary angle

Rearrange the formula: \(B = 180^\circ - A\). Substitute \(A = 57.4^\circ\) into the formula: \(B=180 - 57.4 = 122.6\).

Answer:

\(122.6\)