So the question is can a triangle have two right angles. In Euclidian (flat) geometry the sum of all angles, in a triangle, by definition, must be equal to 180 degrees. Right angle, again, by definition, is an angle which has 90 degrees. So if we had two right anges in a triangle it wouldnt be a triangle anymore. The sides wouldn't connect. So, we can't have two right angles in a triangle, only one, because the sum of two other angles must be 90 degrees.