Mathematics

# How many degrees are there in an angle which equals one-fifth of its supplement?

$30^o$

##### SOLUTION
Two angles which are supplementary add upto $180$ .....(1)
Let one angle be $x$ and other be$\dfrac { 1 }{ 5 } x$
Hence, $x +\dfrac { 1 }{ 5 } x= 180$ .....From (1)
$\Longrightarrow \dfrac { 6 }{ 5 } x = 180$
$\Longrightarrow x= 180 \times \dfrac { 5 }{ 6 }= 150$
Thus one angle is $150$ and the other angle is $\dfrac { 150 }{ 5 } =30^o$.

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Single Correct Medium Published on 09th 09, 2020
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