# In reference to the image attached: Is it possible to solve for x despite the fact that I don't know almost anything about the location of point E? If so, how could this be done?

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Expert Answers

samhouston | Certified Educator

There is not enough information to solve this problem.

However, you can determine a fomula to find x.

Because AB is parallel to CD and AD if parallel to BC, we know that ABCD form a parallelogram.

In a parallelogram, opposite angles are congruent.

Therefore,

`/_` ADC = `/_` ABC

Both angles are equal to x.

We also know ABE is a triangle and the sum of the angles of a triangle is 180 degrees.

Keep in mind that `/_` ABC + `/_` CBE = `/_` ABE

`/_` ABE = x + 20

Therefore,

`/_` EAB + `/_` ABE + `/_` AEB = 180

50 + x + 20 + `/_` AEB = 180

70 + x + `/_` AEB = 180

x + `/_` AEB = 110

x = 110 - `/_` AEB

If you are given the measure of `/_` AEB, you can use the formula above to find x.