Complementary angles
Two angles whose sum is 90 degrees
Complementary angles are defined as two angles that add up to 90 degrees. In other words, if angle A and angle B are complementary, then:
A + B = 90 degrees
Complementary angles are often found in geometric shapes such as right triangles, where one of the angles is 90 degrees. The other two angles in the right triangle are complementary to each other.
To find the complement of an angle, you can subtract the given angle from 90 degrees. For example, if angle A is 30 degrees and you want to find its complement, you would subtract 30 from 90:
90 – 30 = 60 degrees
Therefore, the complement of angle A is 60 degrees.
Complementary angles can also be used to solve for missing angles in a geometric figure. For example, if you have a right triangle with one angle measuring 30 degrees, you can find the measure of the other angle by using the fact that the two angles are complementary:
30 + x = 90
Subtracting 30 from both sides:
x = 60
Therefore, the other angle measures 60 degrees, making it complementary to the 30 degree angle.
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