Mathematics

In figure, the value of $$a$$ is 


ANSWER

$$10^o$$


SOLUTION
Option $$(D)$$ is correct.
$$\Rightarrow \angle AOF =COD$$ [ vertically opposite angles ]
$$\therefore \angle COD =90^o$$
Now, 
$$\angle BOC+\angle COD+\angle EOD=180^{\circ}\cdots\cdots[\because\text{making linear pair}]$$
$$\Rightarrow 40^o +90^o +5a=180^o$$
$$\Rightarrow 5a+130^o =180^o$$
$$\Rightarrow 5a=180^o-130^o$$
$$\Rightarrow 5a=50^o$$
$$\Rightarrow a=10^o$$
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