Mathematics

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


Answer & Solution

$$\displaystyle { 100 }^{ o }$$


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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