the measure of an angle is 43°. what is the measure of its complementary angle?
the measure of an angle is 43°. what is the measure of its complementary angle?
Answer
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:
$47$