A triangle has no right angles when it is not a right angle triangle as for example as in the case of an equilateral triangle that has 3 equal 60 degree angles.
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There are no obtuse angles in a right triangle. A right triangle consists of one right angle and two acute angles.
Yes. A right triangle is a triangle where one angle is a right angle. If two out of three angles are right angles, then it's an isosceles triangle. If all three angles are right angles, then it is an equilateral triangle.
An obtuse triangle can have no right angles, and has two equal angles.
A right triangle can have 2 equal angles if they are each 45° (any other right triangle will have no equal angles)
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.