The point where the two diagonals meet is also the midpoint of both diagonals.
This means that AE = EC . Since we have the value for both segments, we have
[tex] AE = EC \implies 2x = x+2 \implies x = 2 [/tex]
Since AC = AE + EC, we have
[tex] AE + EC = 2x+x+2 = 3x+2 = 3\cdot 2 + 2 = 6+2 = 8 [/tex]
