CK-12 Geometry-Concepts

(Marvins-Underground-K-12) #1

1.10. Vertical Angles http://www.ck12.org


One example is^6 INJand^6 MNL.


Example C


If^6 ABCand^6 DBFare vertical angles andm^6 ABC= ( 4 x+ 10 )◦andm^6 DBF= ( 5 x+ 2 )◦, what is the measure of
each angle?


Vertical angles are congruent, so set the angles equal to each other and solve forx. Then go back to find the measure
of each angle.


4 x+ 10 = 5 x+ 2
x= 8

So,m^6 ABC=m^6 DBF= ( 4 ( 8 )+ 10 )◦= 42 ◦


Watch this video for help with the Examples above.


MEDIA


Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/52605

CK-12 Foundation: Chapter1VerticalAnglesB


Vocabulary


Vertical anglesare two non-adjacent angles formed by intersecting lines. They are always congruent.


Guided Practice


Find the value ofxory.






2.

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