Mathematics

The legs of a stool make an angle of $$35^o$$ with the floor as shown in
Fig. Find the angle $$x$$ and $$y$$


SOLUTION
Given, $$l$$ parallel to $$m$$ and $$QR$$ is a transversal.
$$\therefore \angle x=35^o$$ [Alternative interior angles]
$$\therefore \angle y+35^o=180^o$$ [Co-interior angles]
$$\Rightarrow \angle y=180^o-35^o$$ 
$$\Rightarrow \angle y=145^o$$ 
Therefore, the angle are
$$\therefore \angle x=35^o$$
$$\angle y=145^o$$
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