The ratio of measures of two complementary angles is 4 to 5. The smallest measure is increased by 10%. By what percent must the larger measure be decreased so that the two angles remain complementary?

Answer 1

4x + 5x = 90
x=10
The angles are 40 and 50
The smaller is increased by 10% from 40 to 44
So, the larger is decreased by 4 to 46.
4 is 8% of 50