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mathstudent55

Since each leg of the large trapezoid is bisected, then HJ is the average of the lengths of KL and NM.

HJ = (KL + NM)/2

2(HJ) = KL + nm

2(5x + 2) = 4x + 1 + 27

10x + 4 = 4x + 28

6x = 24

x = 4

KL = 4x + 1 = 4(4) + 1 = 16 + 1 = 17

Answer: KL = 17

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