Two angles are complementary. One contains 20° more than the other. Find both angles. The measures of the angles are

Let the larger angle be x, then the other angle is 90-x, since the angles are complementary.

Given one is 20° larger than the other, therefore

x - (90-x) = 20

solve for x

2x=110, x=55, x-20=35 Check: 55+35=90 (=complementary)

Answer: the angles are 55 and 35°.