Question

given parallelogram ( hijk ) below, ( il = 3 ). if ( lk=-x - 2 ), solve for ( x ).

Explanation:

Step1: Use the property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. So \(IL = LK\).

Step2: Set up the equation

Since \(IL = 3\) and \(LK=-x - 2\), we have the equation \(3=-x - 2\).

Step3: Solve for \(x\)

Add \(x\) to both sides: \(x + 3=- 2\).
Subtract \(3\) from both sides: \(x=-2 - 3\).

Answer:

\(x=-5\)