For any parallelogram, the diagonals cut each other in half. Formally this is known as bisection.
What this means is that the pieces AE and CE are the same length.
AE = CE
6x-8 = 2x+24
6x-2x = 24+8
4x = 32
x = 32/4
x = 8
Then we can calculate the length of each piece mention
- AE = 6x-8 = 6*8-8 = 48-8 = 40
- CE = 2x+24 = 2*8+24 = 16+24 = 40
Both pieces are 40 units long to confirm we have the correct x value.
AC = AE + CE = 40+40 = 80