An angle's measure is twice the measure of its complement. the larger angle is how many degrees greater than the smaller angle.

Two angles are complementary when they add up to 90 degrees

smaller angle = x

larger angle = 2x

x + 2x = 90

3x = 90

x = 90/3

x = 30 ° ← smaller angle

larger angle = 2x = 2 * 30 = 60°

larger angle - smaller angle = 60° - 30° = 30°

The larger angle is 30 degrees greater than the smaller angle.