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In a hexagon with equal angles, the lengths of four consecutive edges are 5, 3, 6 and 7 (in that order). Find the lengths of the remaining two edges

My answer came to be 1 and 8 but i can't check my answer. This is a question from BMOTC

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1 Answer

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Hint :

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The red and black triangles are equilateral and each of the $6$ "corner" triangles are also equilateral.

The lengths of the sides are $5,3,6,7,\color{blue}{1,8}$

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