Question

the measure of an angle is 59°. 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 $\theta = 59^{\circ}$, and the complementary angle be $x$. Then $\theta+x = 90^{\circ}$.

Step2: Solve for the complementary angle

$x=90^{\circ}-\theta$.
Substitute $\theta = 59^{\circ}$ into the equation: $x = 90^{\circ}-59^{\circ}$.
$x = 31^{\circ}$.

Answer:

$31^{\circ}$