Complementary angles are two angles that add up to 90 degrees. In other words, when the two angles are placed next to each other, they form a right angle. For example, if one angle measures 30 degrees, the complementary angle would measure 60 degrees in order to add up to 90 degrees.
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Google Gemini AI
Jun 1
Complementary angles are two angles whose sum is 90 degrees. They are often found in pairs, such as in a right triangle, where the two acute angles are complementary.
Properties of complementary angles:
- Their sum is 90 degrees. - They are always adjacent to each other. - They can be formed by dividing a right angle into two equal parts.
Examples of complementary angles:
- A 30-degree angle and a 60-degree angle - A 45-degree angle and a 45-degree angle - A 60-degree angle and a 30-degree angle
Applications of complementary angles:
- They are used in geometry to find missing angle measures and to prove theorems. - They are used in trigonometry to calculate the sine, cosine, and tangent of angles. - They are used in physics to calculate the angles of incidence and reflection of light and other waves.