Question

two angles are complementary. the measure of one angle is 6 degrees less than 3 times the other angle (its complement). find the measure of each angle, separating each measure with a comma. enter deg after any value that is in degrees.

Explanation:

Definir variables y relaciones

Definimos \(x\) como la medida del primer ángulo en grados.
Su ángulo complementario mide \(90 - x\) grados.
La relación dada es:

$$x = 3(90 - x) - 6$$

Resolver la ecuación lineal

Using the Linear Equations knowledge point

$$
LATEXBLOCK0
$$

Calcular el segundo ángulo

Calculamos la medida del otro ángulo:

$$90 - 66 = 24$$

Los ángulos son \(24\text{ deg}\) y \(66\text{ deg}\).

Answer:

Two angles are complementary. The measure of one angle is 6 degrees less than 3 times the other angle (its complement). Find the measure of each angle, separating each measure with a comma. Enter deg after any value that is in degrees. <blank>24 deg, 66 deg</blank>