Question

In the figure below, if segment B E is the perpendicular bisector of segment A D, what is the value of x?

Answer 1

Because AE and ED are equal, ABE and EBD are equal. And because BEA and BED are right angles, they are congruent too.

These triangles are congruent because of AAS.

So,

2x + 4 = x + 7
x = 3

Hope this helps!