1. The problem states that pentagon JKLMN is similar to pentagon VWXYZ. 2. Similar pentagons have corresponding angles equal. 3. Given that angle K in JKLMN is 150° and angle L is 60°, we identify corresponding angles in VWXYZ. 4. Since vertices correspond in order (J→V, K→W, L→X, M→Y, N→Z), angle K corresponds to angle W, angle L corresponds to angle X. 5. Therefore, angle X in pentagon VWXYZ is equal to angle L in pentagon JKLMN. 6. Given angle L = 60°, we conclude angle X = 60°. **Final answer:** The measurement of angle X is $60^\circ$.