Question

the measure of an angle is 10°. 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 \(a = 10^{\circ}\) and its supplementary angle be \(b\). Then \(a + b=180^{\circ}\).

Step2: Solve for \(b\)

Substitute \(a = 10^{\circ}\) into the equation \(a + b = 180^{\circ}\). We get \(b=180^{\circ}-a\). So \(b = 180^{\circ}- 10^{\circ}\).

Answer:

\(170\)