the angles of a triangle add up to 180°. a right triangle has one 90° angle. using the base angle theorem from geometry, which says that the two base angles of an isosceles triangle are congruent/equal, you know that the non right angles are equal to one another. 180-90 is 90, so the other two angles are 90=2x. the other two angles are 45°. the measures of the angles are 90°,45°,45°