Mathematics

If two supplementary angles are in the ratio $$4:5$$, then the angles are __________.


ANSWER

$$80^o, 100^o$$


SOLUTION
If two angles are supplementary, then the sum of the angles is $$180^o$$
If the ratio is $$4:5$$, let angles are $$4x$$ and $$5x$$
Now we know, $$4x+5x=180^o$$
$$\Rightarrow  9x=180$$
$$\Rightarrow  x=20$$
Therefore, angles are $$100^o$$ and $$80^o$$.
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