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The question is "Both tile A and B are regular polygons. Work out the number of sides A has." diagram depicting polygonal tiles

For this I put B is equilateral ∴ all angles are 60.

However, I have no idea where to go from this.

Could anyone give me any tips for solving this and similar questions? Thanks.

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Hint Look around a $60^\circ$ angle. You see a $60^\circ$ angle of tile $B$ and two angles of tile $A$. So what is the angle of tile $A$?

What is the angle between two sides of a regular $n$-gon? For which $n$ is exactly the above value?

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