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 = 30 °
larger angle = \\(\square\\) °

Explanation:

Step1: Define the relationship

Let the smaller angle be \( x = 30^\circ \). The larger angle is two times the smaller angle, so it is \( 2x \).

Step2: Calculate the larger angle

Substitute \( x = 30^\circ \) into \( 2x \). So \( 2\times30^\circ = 60^\circ \). Also, we can verify by checking if the sum of the two angles is \( 90^\circ \). \( 30^\circ+60^\circ = 90^\circ \), which satisfies the complementary angle condition.

Answer:

\( 60 \)