Mathematics

# Two complementary angles are in the ratio $1:9$. The angles are:

$9^\circ,\, 81^\circ$

##### SOLUTION
Let the angles be $x$ and $9x$
Sum of complementary angles is $90^{ \circ }$
$\Rightarrow x+9x={ 90 }^{ \circ }\\ \Rightarrow 10x=9{ 0 }^{ \circ }\\ \Rightarrow x=9^{ \circ }$
So the angles are
$1\times 9^{ \circ }=9^{ \circ }\\ 9\times 9^{ \circ }=81^{ \circ }$

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Single Correct Medium Published on 09th 09, 2020
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