Question
Two supplementary angles are in the ratio $4 : 5$. Find the angles.

Answer

Let the angles be $4x$ and $5x$. It is given that they are supplem entary angles. $\therefore 4x + 5x = 180 $
$\Rightarrow 9x = 180 $
$\Rightarrow x = 20^\circ $
Hence $4x = 80, 5x = 100$
$\therefore$ Angle are $80^\circ $ and $100^\circ .$

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