\(IJKL\) is a kite with \(∠J = ∠L\). Find \(x\) if \(JK =\) 11\(x+1\) and \(KL = 10x+20\). Calculate the value of \(x\) and determine the side lengths \(JK\) and \(KL\) .

1. The value of \(x\) is .
2. The length of the side \(JK\) is \(cm\).
3. The length of the side \(KL\) is \(cm\).