SOLUTION: In the accompanying diagram , overleftrightarrow AB and overleftrightarrow CD intersect at E. Angles AEC and DEB measure 2x - 6 and 6x - 50 respectively . Find the value of x.

Algebra ->  Angles -> SOLUTION: In the accompanying diagram , overleftrightarrow AB and overleftrightarrow CD intersect at E. Angles AEC and DEB measure 2x - 6 and 6x - 50 respectively . Find the value of x.       Log On


   

Question 1169308: In the accompanying diagram , overleftrightarrow AB and overleftrightarrow CD intersect at E. Angles AEC and DEB measure 2x - 6 and 6x - 50 respectively . Find the value of x.
Answer by ikleyn(52900) About Me  (Show Source):
You can put this solution on YOUR website!
.

The angles AEC and DEB are vertical and, therefore, are congruent.


It means that you need to solve this equation


    2x - 6 = 6x - 50.


You do the rest.

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On vertical angles, see the lesson
    - Angles basics
    - Vertical angles
in this site.

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