Question

the measure of an angle is 56°. 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 $\alpha = 56^{\circ}$ and the complementary angle be $\beta$. Then $\alpha+\beta = 90^{\circ}$.

Step2: Solve for the complementary angle

$\beta=90^{\circ}-\alpha$.
Substitute $\alpha = 56^{\circ}$ into the formula: $\beta = 90^{\circ}-56^{\circ}=34^{\circ}$.

Answer:

$34$