complementary angles definition examples

Complementary angles are two angles that have a sum of 90° (Right angle example of Complementary angles), when sum of two angles 90°, they complement each other. In Right triangle one angle of 90° and two other angles sum of 90°, So Right angle Example of Complementary angles.

Figure 1 example of complementary angles,because Sum of angle A and B equal to 90°.
A complementary angle is made up of two acute angles.
Figure 1: Complementary angles
Figure 2: Complementary angles
These two angles in Figure 2 are complementary, because 60 + 30 = 90.Complementary angles form a right angle (L shape) and have a sum of 90 degrees.

Determine Complement Angle
To determine the complement, subtract the given angle from 90.
Example 1: If one angle is 48 degree, find the second angle if the two angles are complementary to each other.
Solution: 90 - 48 = 42°,  The complement of 48° is 42°.
Example 2: If one angle is 15 degree, find the second angle if the two angles are complementary to each other.
Solution: 90 - 60 = 30° ,  The complement of 60° is 30°.
Example 3: If one angle is 30 degree, find the second angle if the two angles are complementary to each other.
Solution: 90 - 30 = 60°,  The complement of 30° is 60°.
Example 4: If one angle is 15 degree, find the second angle if the two angles are complementary to each other.
Solution: 90 - 15 = 50° ,  The complement of 15° is 75°.
Practice Problems
Example 1: The measure of angle 1 is 27 degree and angle 2 is 60 degree. Identify whether the angles are complementary to each other or not?

Example 2: Let first angle is 12 degrees, find the second angle if the two angles are complementary to each other?

Example 3: x and y are complementary angles. Given x = 62˚, find the value y?

Example 4: The measure of angle 1 is 15 degree and angle 2 is 160 degree. Identify whether the angles are complementary to each other or not?

Example 5: Let first angle is 30 degrees, find the second angle if the two angles are complementary to each other?

Example 6: x and y are complementary angles. Given w = 75˚, find the value z?
Example 7: The measure of angle 1 is 45 degree and angle 2 is 90 degree. Identify whether the angles are complementary to each other or not?

Example 8: Let first angle is 60 degrees, find the second angle if the two angles are complementary to each other?

Example 9: x and y are complementary angles. Given a = 90˚, find the value b?

Example 10: The measure of angle 1 is 120 degree and angle 2 is 60 degree. Identify whether the angles are complementary to each other or not?

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