Question

an angle measures 37.2° more than the measure of its complementary angle. what is the measure of each angle?
° and °

Explanation:

Step1: Set up variables

Let the measure of one angle be \(x\). Then its complementary angle is \(90 - x\).

Step2: Form an equation

Given that one angle measures \(37.2^{\circ}\) more than its complementary angle. So, \(x=(90 - x)+37.2\).

Step3: Solve the equation

$$
LATEXBLOCK0
$$

Step4: Find the complementary angle

The complementary angle is \(90 - 63.6=26.4\)

Answer:

\(63.6\) and \(26.4\)