Mathematics

If two supplementary angles are in the ratio 2 : 7, then the angles are :

$40^{\circ}, 140^{\circ}$

SOLUTION
Let the angles be $2x$ and $7x$
Angles are given supplementary
$2x+7x={ 180 }^{ \circ }\\ 9x={ 180 }^{ \circ }\\ x={ 20 }^{ \circ }$
So the angles are $2\times { 20 }^{ \circ }={ 40 }^{ \circ }$ and $7\times { 20 }^{ \circ }={ 140 }^{ \circ }$

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Single Correct Medium Published on 09th 09, 2020
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