Learn about **complementary angles**. I will explain what are complementary angles with examples. So first read the definition and see the examples for better understanding.

When we talk about **complementary angles** we should also talk about supplementary angles. These both angles we should know i.e. complementary angles and supplementary angles. The definitions of these both angles are almost same but there is a little difference. As of know we will learn **complementary angles**.

**Definition of complementary angles:**

Any two angles we can call it as complementary angles when sum of those angles gives right angle i.e. 90°. The meaning of the definition is if we take any two angles and if we add them and if the sum is right angle then we can call them as **complementary angles.**

**Examples:**

56° and 34°

17° and 73°

35° and 55°

In the above three pairs of examples, if we take any one pair and if we add we will get 90° so they are complementary angles.

Let us take first pair i.e. 56° and 34°.

Add the two angles i.e. 56° + 34° = 90°. We are getting the sum as 90° so 56° and 34° are **complementary angles.**

**Example problems:**

The ratio of complementary angles is 5 : 13 then find the angles.

Solution:

Let the two angles be 5x° and 13x°.

According to problem,

5x° + 13x° = 90°

18x° = 90°

x = 90/18 = 5

Therefore the two angles are

5x° = 5 x 5° = 25°

13x° = 13 x 5° = 65°

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