Question

the measure of an angle is 130.1°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles add up to 180°.
Let the given angle be $\theta = 130.1^{\circ}$, and the supplementary angle be $x$. Then $\theta+x = 180^{\circ}$.

Step2: Solve for the supplementary - angle

$x=180^{\circ}-\theta$.
Substitute $\theta = 130.1^{\circ}$ into the equation: $x = 180^{\circ}-130.1^{\circ}=49.9^{\circ}$.

Answer:

$49.9^{\circ}$