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No - in Euclidean (flat) space.
But since the question does not specify the nature of the space, the answer may be yes. In spherical space.
Go to the north pole and draw a path from there, along the surface, to the equator. Turn left (to the east), i.e. 90 degrees, and travel the exact same distance along the equator. Turn left again by another 90 degrees (you're now facing north) and travel the exact same distance yet again. You're back at the north pole and have traced a right-equiangular triangle with three right angles.
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Is there a right triangle in an equiangular triangle?
No there is not. A right triangle has to have an angle of 90 degrees. An equiangular triangle has 3 equal angles. If a right triangle was equiangular, it would be 90 times 3 equaling 270 degrees. There are only 180 degrees in a triangle.
Does a equiangular triangle have to be equilateral?
No, an equilateral triangle has to be equiangular, but an equiangular triangle does NOT have to be equilateral
Is An equiangular triangle congruent to every other equiangular triangle?
No.
Can a equiangular triangle be an equilateral triangle?
Every equilateral triangle is equiangular, and every equiangular triangle is equilateral.
Can an right angle triangle also be an equilateral?
no. an equilateral triangle is also equiangular, so the angles are 60 degrees each. a right triangle cannot be equilateral
