Question

the measure of an angle is 68.6°. 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 \(A = 68.6^{\circ}\) and its supplement be \(B\). Then \(A + B=180^{\circ}\).

Step2: Solve for \(B\)

We can find \(B\) by \(B = 180^{\circ}-A\). Substitute \(A = 68.6^{\circ}\) into the formula: \(B=180 - 68.6\).

$$
LATEXBLOCK0
$$

Answer:

\(111.4\)