They are: 90 degrees, 45 degrees and 45 degrees
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If a triangle is an isosceles triangle as well as being a right-angled triangle, the size of the two angles (that are not right angles) are 45 degrees.
An obtuse triangle or a right angle triangle. An equilateral is definitely an isoceles triangle * * * * * Not true. An obtuse or right angled triangles can be isosceles. It depends on the sizes of the two smaller angles. An isosceles triangle has two equal angles so a triangle with angles of size [A, (180-A)/2, (180-A)/2] degrees where 90 < A < 180 degrees would be an obtuse angled isosceles triangle. A triangle with angles of size (90, 45, 45) degrees is a right angled isosceles triangle.
An isosceles right angled 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.
a right angled triangle with the remaining angles both being 45 degrees will be a rightangled triangle and an isosceles triangle.