Yes. For example, you can have two angles of 50 degrees, and one angle of 80 degrees. By having two equal angles, you will undoubtedly have two equal sides, as well.
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acute angled triangle,right angled triangle,obtuse angled triangle,isosceles triangle,equilateral triangle, scalene triangle
Any of the above: you can have a right-angled isosceles (not isoscles!) triangle, or an obtuse-angled one or an acute angled-one.
All isosceles triangles must have two congruent sides otherwise it is not isosceles. Whether it is acute angled, right angled or obtuse angled is irrelevant.
Any kind of triangle can have rational or irrational sides: acute angled, right angled or obtuse angled; equilateral, isosceles or scalene.
The angle sum of any triangle is 180 degrees. It does not matter whether it is equilateral, isosceles or scalene, nor whether it is acute angled, right angled or obtuse angled (or any permitted combination).