Question

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

Answer 1

Let the angles be $5x$ & $4x$, since they are supplementary.

$5x+4x={180}^o$

$\Rightarrow 9x={180}^o$

$\Rightarrow x={20}^o$

Angles $=5x=5\times x={100}^o$

$=4x=4\times x={80}^o$.