Recall that two angles are complementary if the sum of their measures is 90 degrees°. Find the measures of two complementary angles if one angle is 18 degrees° more than threethree times the other angle.

18° and 72°

Step-by-step explanation:

let x be the measure of one angle then the other is 3x + 18

The sum of the 2 complementary angles = 90°, hence

x + 3x + 18 = 90

4x + 18 = 90 (subtract 18 from both sides)

4x = 72 (divide both sides by 4)

x = 18

the 2 angles are 18° and (3 * 18) + 18 = 72°