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.Com
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(52865)   (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.

---------------

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

Consider these lessons as your handbook,  textbook,  guide,  tutorials and  (free of charge)  home teacher.



RELATED QUESTIONS

In the accompanying diagram , lines overleftrightarrow AB and overleftrightarrow CD... (answered by ikleyn)
line ab and cd intersect at E, If angle AEC=3x+12 and angle deb=5x-48. what is the... (answered by richwmiller)
In the accompanying diagram , overleftrightarrow AOB is a straight line m angle AOD=3x-12 (answered by ikleyn)
lines AB and CD intersect at E. If m (answered by nyc_function)
two lines, AB and CD, intersect at point E. find the values of x and y given that: the... (answered by ankor@dixie-net.com)
what is the value of x if AEC and DEB are vertical angles? (answered by Alan3354)
In the circle below, chord CD intersect chord AB at E http://i.imgur.com/4STGEkQ.jpg (answered by solver91311)
Two chords, AB and CD, intersect in a circle at E. if _AE= 6cm, BE = 8 cm, and CE =... (answered by NaiXLG)
In a word processing document or on a separate piece of paper, use the guide to construct (answered by solver91311)