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class="entry single post-902 post type-post status-publish format-standard has-post-thumbnail hentry category-geometry tag-complementary-angles tag-congruent-angles tag-conjugate-angles tag-supplementary-angles grow-content-body">
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Complementary and supplementary angles | Types of Angle Pairs | geometry


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In this section we discuss about different types of angles pairs  like Complementary Angles, Supplementary Angles, Conjugate Angles & Congruent angles with examples

Angle Pairs Definition and Examples  | Conjugate and Congruent Angles

For Basic concepts of angles and Different Types of Angles in Geometry like Zero Angle, Acute Angle, Right Angle, Obtuse angle, Straight Angle, Reflex Angle & Complete angle go through the below link

Acute, Right, Obtuse, Straight, Reflex & Complete angle

Complementary Angles

If the sum of two angles are 90o then the angles are said to be Complementary angles. Each one of these angles is called the Complementary of the other.

Example:

complementary and supplementary angle | Different Types of Angle pairs in Geometry

From the above example  ∠POR = 50o , ∠ROQ = 40 are complementary angles

Since sum of the these two angles are 90o

i.e ∠POR + ∠ROQ  = 50o + 40o = 90o

Here ∠POR is said to be complementary angle of ∠ROQ and ∠ROQ is said to be complementary angle of ∠POR.

How to find complementary angles

If any angle of ‘ y ‘ is less than 90o then

Complementary angle of  y  = 90o  – yo

Supplementary angles

If the sum of two angles are 180o then the angles are said to be supplementary angles,  . Each one of these angles is called the supplementary of the other.

Example:

Supplementary and Complementary Angles | Different Types of Angle pairs in Geometry

From the above example  ∠POR = 50o , ∠ROQ = 130 are supplementary angles

Since sum of the these two angles are 180o

i.e ∠POR + ∠ROQ  = 50o + 130o = 180o

Here ∠POR is said to be supplementary angle of ∠ROQ and ∠ROQ is said to be supplementary angle of ∠POR.

How to find supplementary angles

If any angle of Y is less than 180o then

Supplementary angle of  y  = 180o  – yo

Conjugate Angles:

If the sum of two angles are 360 then the angles are said to be Conjugate angles,  . Each one of these angles is called the conjugate of the other.

Example:

Congruent angles | complementary and supplementary angle | Different Types of Angle pairs in Geometry

From the above example  ∠POR = 50o , ∠ROQ = 310 are conjugate angles

Since sum of the these two angles are 360o

i.e ∠POR + ∠ROQ  = 50o + 310o = 310o

Here ∠POR is said to be conjugate angle of ∠ROQ and ∠ROQ is said to be conjugate angle of ∠POR.

How to find conjugate angles

If any angle of  ‘y ‘ is less than 360o then

Conjugate angle of y  = 360o  – yo

Congruent angles:

Two angles having the same measure are known as congruent angle.

In the above figure ∠AOB & ∠POQ  are congruent angles.

Since ∠AOB  =  ∠POQ  = 60o

Angular bisector:

A ray which divides an angle into two congruent angles is called angular bisector.

Example:

Angular bisector | complementary angles and supplementary angles meaning with examples

In the above figure ray OR is called angular bisector of ∠POQ.

Since ∠POR = ∠ROQ = 30o

Thanks for reading this article. I Hope you liked this article “Complementary and supplementary angles meaning with examples.  Give feed back and comments please.

Supplementary and Complementary Angles | Different Types of Angle pairs in Geometry | Complementary Angles | Supplementary Angles |Conjugate Angles |Congruent angles

Related Articles:

Angles are formed by Parallel Lines Cut by a Transversal line

Classifications of Triangles with properties

Quadrilateral with their properties and formulas

Properties of  circle in math  and  Arc, Perimeter, Segment of circle

Lines In Geometry | Types of Lines |  Straight and Curved Line |

Ray along with their types | Line segment math definition

Collinear Points and non-collinear points | Point in Geometry Math


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Geometry

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Post Author: sivaalluri


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My self Sivaramakrishna Alluri. Thank you for watching my blog friend

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3 thoughts on “Complementary and supplementary angles | Types of Angle Pairs | geometry


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    Jenny

    (April 5, 2021 - 10:30 pm)
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    Supplementary angle= ”2 angles are supplementry if their angles have a sum of 180 degree.”
    Complementary angle: ”2 angles are complementry if their angles have a sum of 90 degree.”
    Congruent angle: ”2 same measure.”
    Angular bisector: ”A ray divides an angle into 2 congruent angle.”
    Very helpful article, thank you!


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      sivaalluri

      (April 26, 2021 - 3:55 am)
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      Thank you


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    Supriya yadav

    (October 30, 2023 - 12:55 pm)
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    All types angel


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