Question

the measure of an angle is 43°. what is the measure of its complementary angle?

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles add up to 90°. Let the given angle be $\alpha = 43^{\circ}$, and the complementary angle be $\beta$. Then $\alpha+\beta = 90^{\circ}$.

Step2: Solve for the complementary angle

We can find $\beta$ by subtracting $\alpha$ from 90°. So $\beta=90^{\circ}-\alpha$. Substitute $\alpha = 43^{\circ}$ into the formula: $\beta = 90^{\circ}- 43^{\circ}=47^{\circ}$.

Answer:

$47$