CK-12 Geometry Concepts

(Elliott) #1

1.8. Supplementary Angles http://www.ck12.org


1.8 Supplementary Angles


Here you’ll learn what supplementary angles are and how they can help you to solve problems.


What if you were given two supplementary angles? How would you determine their angle measures? After
completing this Concept, you’ll be able to use the definition of supplementary angles to solve problems like this
one.


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CK-12 Foundation: Chapter1SupplementaryAnglesA


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James Sousa:Supplementary Angles


Guidance


Two angles aresupplementarywhen they add up to 180◦. Supplementary angles do not have to be congruent or
touching.


Example A


The two angles below are supplementary. Ifm^6 MNO= 78 ◦what ism^6 PQR?


Set up an equation.


78 ◦+m^6 PQR= 180 ◦
m^6 PQR= 102 ◦

Example B


What are the measures of two congruent, supplementary angles?

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