What is ed ?

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units

Question says to find ED based on given information in the picture.

We see that AB and CD are parallel lines

AD acts as transversal on AB and CD

then

∠CDE= ∠BAE {alternate interior angles}

similarly

∠DCE= ∠ABE {alternate interior angles}

∠CED= ∠BEA {opposite angles}

so by AAA property of triangles.

Triangle CDE and triangle BAE are similar.

By properties of similar triangles, we know that ratio of corresponding sides is always equal so we can write:

9(x+4)=6(2x+4)

9x+36=12x+24

9x-12x=24-36

-3x=-12

x=4

We have to find AD which is x+4

ED= x+4 = 4+4 = 8

Hence final answer is ED = 8.

392 is your answer

Hope this helps...