Concept
The figure is a parallelogram.
Theorem:
The diagonals NL and MK of a parallelogram bisect each other, meaning the line divide each other into two equal part.
That is, ME = KE and NE = LE
Next,
Given data
ME = 2x - 10
Ek = 1 + x
Since ME = EK
Therefore,
2x - 10 = 1 + x
collect like terms and add similar terms.
2x - x = 1 + 10
x = 11
Final solution
MK = ME + EK
MK = 2x - 10 + 1 + x
MK = 3x - 9
MK = 3(11) - 9
MK = 33 - 9
MK = 24
MK = 24