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No. Remember that an equilateral triangle is also equiangular, and all angles must add up 180 degrees. Since there are three angles in a triangle each angle must equal 60 degrees, because 60 is 1/3 of 180.

(Extra credit answer: not in Euclidean geometry. In other geometries, it may be possible; for example, in spherical geometry it's possible for a triangle to have three right angles.)

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Q: Can an equilateral triangle be a right triangle?
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