Question

the measure of an angle is 25.6°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall supplementary angle definition

Supplementary angles sum to \(180^\circ\). Let the angle be \(x = 25.6^\circ\) and its supplement be \(y\). So, \(x + y=180^\circ\).

Step2: Solve for the supplement

Rearrange the formula: \(y = 180^\circ - x\). Substitute \(x = 25.6^\circ\): \(y=180 - 25.6 = 154.4\).

Answer:

\(154.4\)