No, a triangle can have up to one right angle, but it doesn't have to be a right angle in order to be a triangle.
A right triangle had one right angle.
so, NO
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square has 4 right angles and triangle has no right angles
A triangle cannot have four angles.
A square has 4 right-angles. A right-angle triangle has 1 right-angle
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.
Depends on the shape. A right triangle has one right angle, a rectangle has 4, an equilateral triangle has none, a circle has no angles. There are polygons with more than 4 right angles, and there is no limit on how many, but those with more than 4 are not convex.