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Complementary and Supplementary Angles

Learn the difference between a complementary and supplementary angle in Math.

Complementary angles are two angles that add to 90 degrees.

Supplementary angles are two angles that add to 180 degrees.

Here are some examples of complementary angles:

• The angle between the hour hand and minute hand of a clock at 3:00 is 90 degrees.
• The angle between the two legs of a right triangle is 90 degrees.
• The angle between the two lines of a highway that intersect at a right angle is 90 degrees.

Here are some examples of supplementary angles:

• The angle between the two hands of a clock at 6:00 is 180 degrees.
• The angle between the two sides of a parallelogram that are opposite each other is 180 degrees.
• The angle between the two lines of a highway that run parallel to each other is 180 degrees.

Complementary and supplementary angles are important concepts in geometry and trigonometry. They are used in many different applications, such as navigation, surveying, and construction.