Definition of Complementary Angles
Complementary angles are a pair of angles that add up to 90 degrees
Complementary angles are a pair of angles that add up to 90 degrees. In other words, if you have two angles and their measures of degrees sum up to 90 degrees, then they are considered complementary angles.
For example, let’s say you have an angle with a measure of 30 degrees. To find its complementary angle, you would subtract its measure from 90 degrees, since the sum of the two angles should be 90. Therefore, the complementary angle to 30 degrees would be 90 – 30 = 60 degrees.
Complementary angles often occur when two lines intersect and form a right angle, which measures 90 degrees. In this case, one angle would be the right angle, and its complement would be the other angle that completes the sum of 90 degrees.
Complementary angles can also be used to solve problems and find missing angles in geometric figures. By recognizing that two angles are complementary, you can set up an equation with their measures and solve for the unknown angle. This concept is particularly useful in right triangles, where one angle is always a right angle, and the other two angles are complementary.
Overall, complementary angles are a fundamental concept in geometry that involve two angles whose measures sum up to 90 degrees. Understanding this definition is crucial for working with angles and solving geometric problems.
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