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

1. Enter the Lair: Batguy must first navigate through the dangerous traps set by Jigtrap to reach his lair. Use your detective skills to find clues and avoid the traps. Look for hidden passages and secret buttons that might help you progress.

2. Solve the Puzzles: Jigtrap's game is filled with puzzles that Batguy must solve to move forward. These puzzles might involve logic, memory, or physical challenges. Take your time to think through each puzzle, and don't rush. Remember, Batlady's life depends on your success.

3. Gather Tools and Weapons: Along the way, Batguy will find various tools and weapons that can help him overcome obstacles and defeat enemies. Make sure to collect items like the Batarang, grappling hook, and any other gadgets that might come in handy.

4. Confront Jigtrap's Minions: Jigtrap will have his minions guarding the way to Batlady. Use your combat skills and the tools you've gathered to defeat them. Remember to use stealth when possible to avoid unnecessary fights and conserve energy.

5. Reach Batlady: Once you've navigated through the lair and defeated the minions, you'll finally reach Batlady. She might be in a trap or a locked room. Use your tools and wits to free her safely.

6. Escape the Lair: After rescuing Batlady, you need to find a way out of Jigtrap's lair. The escape route might be different from the way you came in, so be prepared for more puzzles and traps. Work together with Batlady to make it out safely.

7. Final Confrontation: Jigtrap might confront you before you can fully escape. Be ready for a final showdown. Use all your skills and resources to defeat him and ensure Batlady's safety.

By following these steps, Batguy can successfully rescue Batlady from Jigtrap's evil clutches. Stay focused, use your intelligence, and never give up!