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?
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4x +5x =90°
X=10
The angles are 40 and 50
If 40 is increased by 10% then new angle =44°
Hence to remain as complementary angles the other angle =90-44=46°
Therefore decrease in angle = (50-46)×100/50
=8% decrease
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