1. **State the problem:** We have a rectangle JKLM with given angles and side lengths. We need to find the length JK. 2. **Recall properties of rectangles:** In a rectangle, opposite sides are equal and all angles are 90°. The diagonals are equal in length and bisect each other. 3. **Given:** Side ML = 30, side LM = 18 (assuming from the description), angles 59° and 72° are likely related to triangles formed by diagonals. 4. **Find JK:** Since JK is opposite to ML, and in rectangles opposite sides are equal, we have $$ JK = ML = 30 $$ 5. **Conclusion:** The length JK is 30 units. Note: The angles 59° and 72° do not affect the side lengths in a rectangle since all angles are 90°. The given side lengths determine JK directly.