If LMNO is a parallelogram , and LM=2y-9 and NO=y-2 find the value of y. y=square

## Step 1<br />In a parallelogram, the opposite sides are equal. Therefore, in the given parallelogram LMNO, the sides LM and NO are equal.<br /><br />## Step 2<br />Given that \(LM = 2y - 9\) and \(NO = y - 2\), we can set these two expressions equal to each other because they represent the same side length.<br /><br />### \(2y - 9 = y - 2\)<br /><br />## Step 3<br />To solve for y, we first subtract y from both sides of the equation to get:<br /><br />### \(y - 9 = -2\)<br /><br />## Step 4<br />Then, we add 9 to both sides of the equation to isolate y:<br /><br />### \(y = 7\)