Question

the measure of an angle is 26.2°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall supplementary angle definition

Supplementary angles sum to \(180^\circ\). Let the angle be \(x = 26.2^\circ\) and its supplement be \(y\). So, \(x + y = 180^\circ\).

Step2: Solve for the supplement

Rearrange the formula: \(y = 180^\circ - x\). Substitute \(x = 26.2^\circ\): \(y = 180^\circ - 26.2^\circ = 153.8^\circ\).

Answer:

\(153.8\)