Question

the measure of an angle is 70°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall supplement - angle definition

Two angles are supplementary if their sum is $180^{\circ}$.

Step2: Set up the equation

Let the given angle be $\alpha = 70^{\circ}$, and the supplementary angle be $\beta$. Then $\alpha+\beta = 180^{\circ}$.

Step3: Solve for $\beta$

$\beta=180^{\circ}-\alpha = 180^{\circ}- 70^{\circ}=110^{\circ}$

Answer:

$110^{\circ}$