Question

the measure of an angle is 19.1°. what is the measure of its complementary angle?

Explanation:

Step1: Recall complement - angle formula

The sum of an angle and its complementary angle is 90°. Let the given angle be $\theta = 19.1^{\circ}$ and its complementary angle be $\alpha$. Then $\theta+\alpha = 90^{\circ}$.

Step2: Solve for the complementary angle

We can find $\alpha$ by subtracting $\theta$ from 90°. So, $\alpha=90^{\circ}-\theta$. Substitute $\theta = 19.1^{\circ}$ into the formula: $\alpha = 90^{\circ}-19.1^{\circ}=70.9^{\circ}$.

Answer:

$70.9^{\circ}$