It is important to learn to identify the different angles that may appear in a Physic problem.
The following animation will help you see the angle relationships between two perpendicular rays and the Cartesian coordinate system.

 Two angles are called complementary if their sum is 90^{0}.
 Two angles are called supplementary if their sum is 180^{0}.
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Modify the α angle between the red ray and the horizontal axis to see its relationship with the following complementary and supplementary angles:
β = 90^{0} – α.
γ = 180^{0} – β = 90^{0} + α.
δ = 180^{0} – α = 90^{0} + β.
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