If one angle is twice the other and they are complementary, find the angles

Solution:

Let the smaller angle be x.
Then the other angle will be 2x.

Since the angles are complementary, their sum is $90^\circ$.

So,
$x + 2x = 90^\circ$

$3x = 90^\circ$

$x = 30^\circ$

Therefore, the other angle is $2x = 60^\circ$.

Answer: The angles are $30^\circ$ and $60^\circ$.