Those angles are called complimentary angles. They add up to 90 degrees.
Two angles that add up to 180 degrees are called supplementary angles.
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Complimentary angles
Any two angles who's measures add up to 180 degrees form a straight angle.
The sum of two complementary angles is 90 degrees. The three angles of a triangle add up to 180 degrees. Hence, if you subtract the complementary angles from 180, you have the measure of the third angle: 180 - 90 = 90 (this is the third angle) As a rule, if two angles of a triangle are complementary, the third angle is a right angle (90 deg). The three angles together form a right triangle.
The complementary angles form a right angle with the shared ray.
Not possible... The internal angles of a quadrilateral always total 360. If you MUST have an angle of 90 degrees - the remaining angles must total 270. At least one of the remaining angles will always be obtuse.