Mathematics

The complementary angles are in the ratio 1 : 5. Find the measures of the angles :

15, 75

SOLUTION
Let the angles be $x$ and $5x$
Angles are complementary then their sum is ${ 90 }^{ \circ }$
$\Rightarrow x+5x={ 90 }^{ \circ }\\ \Rightarrow 6x={ 90 }^{ \circ }\\ \Rightarrow x={ 15 }^{ \circ }$
So the angles are
$1\times { 15 }^{ \circ }={ 15 }^{ \circ }\\ 5\times { 15 }^{ \circ }={ 75 }^{ \circ }$

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Single Correct Medium Published on 09th 09, 2020
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