Mathematics

In the below figure $$AB,CD$$ and $$EF$$ are three lines concurrent at $$O$$. Find the value of $$y$$.


SOLUTION
In the given figure,

$$\angle BOF=5y$$

So,
$$\angle EOA=\angle BOF=5y$$        ( vertically opposite angles )

Also
$$\angle COE+\angle EOA+\angle AOD=180^{\circ}$$    ( supplementary angles )

$$2y+5y+2y=180^{\circ}$$

$$9y=180^{\circ}$$

$$y=\cfrac{180}{9}=20^{\circ}$$
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Subjective Medium Published on 09th 09, 2020
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