Supplementary Angles: Applications In Geometry And Trigonometry

Supplementary angles

Two angles whose sum is 180 degrees

Supplementary angles are two angles that add up to 180 degrees. In other words, if two angles are supplementary, the sum of their measures is equal to 180 degrees. When two angles are supplementary, each angle is called the supplement of the other.

Supplementary angles are commonly found in geometry and trigonometry. In geometry, they are often used in problems involving parallel lines cut by a transversal. For example, if two parallel lines are cut by a transversal, two pairs of supplementary angles are created.

In trigonometry, supplementary angles are used to calculate trigonometric functions such as sine, cosine, and tangent. For example, if the measure of an angle is known to be 120 degrees, you can determine its supplement (60 degrees) and use the trigonometric functions for a 60-degree angle to calculate trigonometric ratios for the 120-degree angle.

Remember, two angles are supplementary if their measures add up to 180 degrees. You can use this fact to solve geometry and trigonometry problems involving parallel lines, transversals, and angles.

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