Question

recall that two angles are complementary if the sum of their measures is 90°. find the measures of two complementary angles if one angle is two times the other angle. smaller angle = \\(\square^\circ\\)

Explanation:

Step1: Define variables

Let the smaller angle be \( x \) degrees. Then the larger angle, which is two times the smaller one, is \( 2x \) degrees.

Step2: Use complementary angle property

Since the two angles are complementary, their sum is \( 90^\circ \). So we set up the equation: \( x + 2x = 90 \).

Step3: Solve the equation

Combine like terms: \( 3x = 90 \). Then divide both sides by 3: \( x=\frac{90}{3}=30 \).

Answer:

\( 30 \)