Question

Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find x.A. 8B. 6C. 4D. 2

Answer 1

Given:

A parallelogram has opposite equal sides and where point E is makes the diagonal lines cut in half.

If the line from point A to point E is 2x

And the line from point E to C is x+2

And line AE = line CE then 2x=x+2

So: 2x-x = x-x+2 and becomes x = 2

Answer: D. 2