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enter image description here

ABis parallel to CD.The values of the angles are a,3x,2x and z as shown in the figure.Also,2x+z=100 degrees.Now it is required to find the value of angle a.I tried hard but could not solve it.I think some data is missing.Is is so?Or can it be solved?Please help.

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  • $\begingroup$ Note that from your drawing, 2x+z can't be 100 $\endgroup$
    – NoChance
    Commented Aug 25, 2015 at 13:39
  • $\begingroup$ @EmmadKareem-Drawing is of course not to scale... $\endgroup$
    – Harmonic
    Commented Aug 25, 2015 at 13:39
  • $\begingroup$ Which angle is $x$? The picture is unreadable. Improve it. $\endgroup$
    – 5xum
    Commented Aug 25, 2015 at 13:44
  • $\begingroup$ I guess there is no x angle. There is an angle of value 2x only, $\endgroup$
    – NoChance
    Commented Aug 25, 2015 at 13:47

1 Answer 1

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It is impossible to determine $a$. So long as $3x < 80$, you can draw a triangle where $x$ is anything you want, $z$ is $100-2x$ and $a=80 - 3x$.

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