Discovering The Role Of Complementary Angles In Geometry And Trigonometry

Complementary angles

Two angles whose sum is 90 degrees.

Complementary angles are two angles whose sum is equal to 90 degrees. In other words, they are angles that add up to form a right angle.

For example, if one angle measures 30 degrees, its complementary angle measures 60 degrees (30 + 60 = 90). Similarly, if one angle measures 45 degrees, its complementary angle measures 45 degrees (45 + 45 = 90).

Complementary angles are often used in geometry to solve for unknown angles. If we know that two angles are complementary, we can set up an equation and solve for the missing angle.

For instance, if we are given that one angle measures 20 degrees and its complementary angle is unknown, we can set up an equation as follows:

20 + x = 90

where x is the measure of the missing angle.

Solving for x, we get:

x = 90 – 20

x = 70

Therefore, the missing angle measures 70 degrees.

Overall, knowing about complementary angles is important in geometry and trigonometry, and can be used to solve for unknown angles in various situations.

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