Question

the measure of an angle is two times the measure of its complementary angle. what is the measure of each angle?
□° and □°

Explanation:

Step1: Define variables

Let the measure of the complementary angle be $x$ degrees. Then the measure of the angle is $2x$ degrees.

Step2: Use complementary angle property

Complementary angles add up to $90^\circ$. So, $x + 2x = 90^\circ$.

Step3: Solve for $x$

Combine like terms: $3x = 90^\circ$. Then divide both sides by 3: $x=\frac{90^\circ}{3}=30^\circ$.

Step4: Find the angle's measure

The angle is $2x$, so substitute $x = 30^\circ$: $2\times30^\circ = 60^\circ$.

Answer:

The measure of the complementary angle is $30^\circ$ and the measure of the angle is $60^\circ$.