Question

the measure of an angle is 89°. what is the measure of its complementary angle?

Explanation:

Step1: Recall complementary - angle definition

Complementary angles add up to $90^{\circ}$.

Step2: Calculate the complementary angle

Let the given angle be $\alpha = 89^{\circ}$, and the complementary angle be $\beta$. Then $\beta=90^{\circ}-\alpha$. Substituting $\alpha = 89^{\circ}$, we get $\beta = 90^{\circ}-89^{\circ}=1^{\circ}$.

Answer:

$1^{\circ}$