What are Complementary Angles

What are Complementary Angles What are Complementary Angles There will also be possible combination of these angles that are also categorized in different types and one of these types is complementary angles.

If we want to know that What is a Complementary Angle then it will be define as Complementary angles are define as two angles whose total is equal to the 90 ' means when there is two angles and total of their size is equal to 90 ' then these angles are known as the right angle .

These are also be define as the total of the angles equal to the right angle means the size equal to the 90 ' .

There are several examples of the complementary angles that are as follows : Example no (1) : If two angles are 50 ' and 40 ' then find that these are complementary angles or not ?

Solution : For check the complementary angles we write it as angle 1 + angle 2 = 90 '

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So here size of the angle 1 = 50 ' and size of angle 2 = 40 ' then addition of these angles are (50 + 40 ) is equal to 90 ' so these angles are complementary angles .

Example no (2) : If two angles are 35 ' and 55 ' then find that these are complementary angles or not ?

Solution : For check the complementary angles we write it as angle 1 + angle 2 = 90 ' So here size of the angle 1 = 35 ' and size of angle 2 = 55 ' then addition of these angles are (35 + 55 ) is equal to 90 ' so these angles are complementary angles .

If there is given that two angles are complementary with each other and only one angle is given then size of other angle can be calculated bu subtracting the given angle from the 90 ' that will give the size of other angle that is also denoted as angle 1 + angle 2 = 90 ' If the size of the angle 1 is given then for finding the size of angle 2 it will be written as angle 2 = 90 ' angle 1 .

Example no (3) : If the size of one angle is 60 ' and size of other angle is not given and these angle are complementary with each other then find the size of angle 2 ?

Solution : angle 1 – angle 2 = 90 ' angle 1 = 60 ' and angle 2 = ?

Then angle 2 = 90 ' - angle 1 angle 2 = 90 ' - 60 ' angle 2 = 30 '

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One more example of find the size of the angle if two angles are complementary with each other as Example no (4) : If the size of one angle that is angle 1 is 60 ' and size of other angle that is angle 2 is not given and these given angles angle 1 and angle 2 are complementary with each other then find the size of angle 2 ?

Solution : As give that the angle 1 and angle 2 are complementary angles and these are denoted as angle 1 – angle 2 = 90 ' angle 1 = 60 ' and angle 2 = ?

Then angle 2 = 90 ' - angle 1 angle 2 = 90 ' - 60 ' angle 2 = 30 '

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