Mathematics

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


ANSWER

$${30}^{o}$$


SOLUTION
Let the angle in degrees  be $$x$$. Then, its supplement $$=({180}^{o}-x)$$
Given, $$x=\cfrac{1}{5}({180}^{o}-x)$$
$$\Rightarrow$$ $$5x={180}^{o}-x$$ $$\Rightarrow$$ $$6x={180}^{o}$$
$$\Rightarrow$$ $$x={30}^{o}$$
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Single Correct Medium Published on 09th 09, 2020
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