To help Batguy rescue Batlady from the clutches of the evil Jigtrap, follow these steps:

1. Gather Clues and Tools: Batguy needs to search the area for any clues that might lead him to Batlady's location. Look for hidden messages, maps, or any tools that Jigtrap might have left behind to help solve his puzzles.

2. Solve Jigtrap's Puzzles: Jigtrap is notorious for his complex and dangerous puzzles. Batguy must use his intelligence and detective skills to solve each puzzle carefully. These puzzles could involve physical challenges, riddles, or even digital hacks.

3. Navigate the Labyrinth: Jigtrap's lair is likely a maze filled with traps and obstacles. Batguy should use his utility belt gadgets, such as a grappling hook or smoke bombs, to navigate safely through the labyrinth.

4. Confront Jigtrap: Once Batguy reaches Jigtrap, he must confront him without falling into any more traps. Use strategy and perhaps a bit of deception to outsmart Jigtrap and secure Batlady's release.

5. Rescue Batlady: After defeating Jigtrap, Batguy must quickly locate Batlady and ensure she is safe. Use any medical supplies from the utility belt to treat any injuries she might have sustained.

6. Escape Plan: Plan a swift and safe escape route from Jigtrap's lair. Use Batguy's knowledge of the area and any vehicles or gadgets at his disposal to get Batlady to safety.

7. Debrief and Plan Ahead: Once Batlady is safe, take time to debrief on the experience. Analyze what went wrong and how to prevent future kidnappings by Jigtrap or other villains.

By following these steps, Batguy should be able to rescue Batlady and thwart Jigtrap's evil plans.