Mathematics

Two supplementary angles are in ratio $4:5$. Find the measure of greater angle.

$\displaystyle { 100 }^{ o }$

SOLUTION
Let two angles be 4x and 5x
Sum of supplementary angles is $\displaystyle { 180 }^{ o }$
$\displaystyle \therefore \quad 4x+5x={ 180 }^{ o }$
$\displaystyle 9x={ 180 }^{ o }$
$\displaystyle x=\frac { 180 }{ 9 } ={ 20 }^{ o }$
So, one angle = $\displaystyle 4x=4\times 20={ 80 }^{ o }$
Another angle = $\displaystyle 5x=5\times 20={ 100 }^{ o }$
Larger of two angle is $\displaystyle { 100 }^{ o }$

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Single Correct Medium Published on 09th 09, 2020
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