Question

an angle measures 00° more than the measure of its complementary angle. what is the measure of each angle?

Explanation:

Step1: Define variables for angles

Let complementary angle be $x$, the angle is $x+60^\circ$.

Step2: Set up complementary angle equation

$x + (x + 60^\circ) = 90^\circ$

Step3: Solve for x

$2x = 30^\circ \implies x = 15^\circ$

Step4: Find the other angle

$x + 60^\circ = 15^\circ + 60^\circ = 75^\circ$

Answer:

15°, 75°