Question

the measure of an angle is 26°. 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 \(A = 26^{\circ}\) and its supplementary angle be \(B\). Then \(A + B=180^{\circ}\).

Step2: Solve for the supplementary angle

We can find \(B\) by \(B = 180^{\circ}-A\). Substitute \(A = 26^{\circ}\) into the formula: \(B=180^{\circ}- 26^{\circ}\).

$$B = 154^{\circ}$$

Answer:

\(154^{\circ}\)