# Looks like what?

Geometry Level 4

Let $$N$$ and $$M$$ be two real numbers such that

$$N=\tan{20}+\tan{40}+\sqrt{3}\times \tan{20}\tan{40}$$

$$M=\cot{16}\cot{44}+\cot{44}\cot{76}-\cot{76}\cot{16}$$

Find the value of $$\dfrac M{N^2}$$.

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