**Definition:**Complementary angles(संपूरक कोण) 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?