Question

the measure of an angle is 11.4°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles add up to \(180^{\circ}\).

Step2: Set up the equation

Let the supplementary angle be \(x\). Then \(x + 11.4^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

\(x=180^{\circ}- 11.4^{\circ}\)
\(x = 168.6^{\circ}\)

Answer:

\(168.6\)