The third angle must be 90 degrees, so you have an "isosceles right triangle".
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A right angles triangle, as one of the angles in the triangle is 90 degrees.
A triangle with all three angles measuring 60 degrees is called an equilateral triangle.
If all of the 3 acute angles are 60 degrees then it is an equilateral triangle if not then it could be a scalene triangle.
A scalene triangle
A triangle with all angles congruent are called equilateral. Each angle is 60 degrees.