Question

if the measure of an angle is 38°, find the measure of its complement.

Explanation:

Step1: Recall complement - angle definition

Complementary angles sum to 90°.
Let the given angle be $\alpha = 38^{\circ}$, and its complement be $\beta$. Then $\alpha+\beta = 90^{\circ}$.

Step2: Solve for the complement

$\beta=90^{\circ}-\alpha$.
Substitute $\alpha = 38^{\circ}$ into the formula: $\beta = 90^{\circ}-38^{\circ}=52^{\circ}$.

Answer:

$52^{\circ}$