Mathematics

In figure, $$a=40^o$$. The value of $$b$$ is 


ANSWER

$$20^o$$


SOLUTION
We can clearly see that, $$5b$$ and $$2a$$ are linear angles
And $$a=40^0$$
$$\Rightarrow 5b+2a=180^o$$
$$\Rightarrow 5b+2\times 40^o =180^o$$
$$\Rightarrow 5b+80^o =180^o$$
$$\Rightarrow 5b=100^o$$
$$\Rightarrow b=\dfrac{100^o}{5}$$
$$\Rightarrow  b=20^o$$
So, option $$A$$ is correct
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