Answer
A triangle cannot contain two 90° angles because these angles, added together already equal 180°. The measure of all the angles of a triangle must invariably equal 180°. If two angles added together already measure 180°, then the third angle, in this case, has no measurement. An angle cannot have a measure of 0°. Therefore, at least one of the angles must have a measure of less than 90° in order for a triangle to be possible.
Work Step by Step
A triangle cannot contain two 90° angles because these angles, added together already equal 180°. The measure of all the angles of a triangle must invariably equal 180°. If two angles added together already measure 180°, then the third angle, in this case, has no measurement. An angle cannot have a measure of 0°. Therefore, at least one of the angles must have a measure of less than 90° in order for a triangle to be possible.