Question

1. if the measure of an angle is 48°, find the measure of its complement.

Explanation:

Step1: Recall complement - angle formula

The sum of an angle and its complement is 90°. Let the given angle be $\theta = 48^{\circ}$, and its complement be $x$. Then $\theta+x = 90^{\circ}$.

Step2: Solve for the complement

We can rewrite the equation as $x=90^{\circ}-\theta$. Substitute $\theta = 48^{\circ}$ into the equation: $x = 90^{\circ}-48^{\circ}$.
$x = 42^{\circ}$

Answer:

$42^{\circ}$