if two complementary angles are in the ratio 11:5 then the smallest angle is
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Step-by-step explanation:
Two angles are said to be complementary to each other ,if their sum is 90°
The ratio of given complementary angles = 11:5
Let they be 11x and 5x
total parts =11x+5x=16x
their sum =90°
=>16x=90°
=>x=90°/16
=>x=5.625°
then ,we have
11x=11×5.625=61.875°
5x=6×5.625=28.125°
therefore the smallest angle = 28.125°
check: 61.875+28.125=90°
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