Question

the measure of an angle is 88.2°. what is the measure of its complementary angle?

Explanation:

Step1: Recall complementary - angle definition

Complementary angles add up to 90°. Let the given angle be $\alpha = 88.2^{\circ}$ and the complementary angle be $\beta$. Then $\alpha+\beta = 90^{\circ}$.

Step2: Solve for the complementary angle

$\beta=90^{\circ}-\alpha$. Substitute $\alpha = 88.2^{\circ}$ into the formula: $\beta = 90 - 88.2=1.8^{\circ}$.

Answer:

$1.8$