Question

the measure of an angle is 39.6°. what is the measure of its complementary angle?

Explanation:

Step1: Recall complementary - angle definition

Complementary angles add up to 90°.

Step2: Calculate the complementary angle

Let the given angle be $\alpha = 39.6^{\circ}$, and the complementary angle be $\beta$. Then $\beta=90^{\circ}-\alpha$. Substitute $\alpha = 39.6^{\circ}$ into the formula: $\beta = 90 - 39.6=50.4^{\circ}$.

Answer:

$50.4$