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 $\theta = 38^{\circ}$, and the complement be $x$. Then $\theta+x = 90^{\circ}$.

Step2: Solve for the complement

$x=90^{\circ}-\theta$. Substitute $\theta = 38^{\circ}$ into the equation: $x = 90^{\circ}-38^{\circ}$.
$x = 52^{\circ}$

Answer:

$52$