An angle is 80 degrees more than its complement. What are the measures of the two angles?

Answer 1

85 and 5 degrees. Complementary angles add up to 90 degrees. Let x be the smaller angle of the two. That angle's complement can be written as x + 80 (80 degrees more than x). You can now add the two parts together, so x + (x +80) = 90. Solve to get x = 5, which makes the bigger angle 85.