1. **Problem Statement:** We have a rectangle JKLM with sides ML = 30 units and KL = 18 units. The angles given are 59° and 72°, and we need to find the length JK. 2. **Recall properties of rectangles:** In a rectangle, opposite sides are equal and all angles are 90°. Therefore, JK = ML and JM = KL. 3. **Given side lengths:** ML = 30 units and KL = 18 units. 4. **Find JK:** Since JK is opposite to ML in the rectangle, by definition of rectangle sides, $$ JK = ML = 30 $$ 5. **Conclusion:** The length JK is 30 units. This is consistent with the properties of rectangles where opposite sides are equal.