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# Puzzles

## Is it equilateral?

In the diagram below, $$ABDC$$ is a square. Angles $$ACE$$ and $$BDE$$ are both 75°.
Is triangle $$ABE$$ equilateral? Why/why not?
If you enjoyed this puzzle, check out Sunday Afternoon Maths LXIII,
puzzles about 2d shapes, or a random puzzle.

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