Tighten one adjustable wrench onto the curved “latch” side of the plate to hold it while you bend the tang. Then tighten the second wrench on the tang. Bend it toward the door and reinstall the strike to test the fit. Make several small bends rather than “overshooting” and having to bend it back and forth.
Spring nights are made for open windows and great sleep. But if your interior doors are out of adjustment, they'll rattle every time the breeze kicks up. The problem is always caused by a gap between the door stop and the door. Here are three simple fixes.
The simplest fix of the three is to bend the little tang on the strike plate toward the door. When the door latches, it pushes the door toward the stop just a bit and holds the latch a little tighter, sometimes enough to silence the door. It doesn't always work, but it's worth a shot. A pair of pliers always hacks up the finish on the plate, so use two adjustable wrenches instead.
The next easiest fix is to shim any gaps with self-adhesive “dots”, which are usually used to soften cabinet door and drawer closes. You'll find them near the cabinet hardware at the store. The least obvious are the clear dots that blend in with the door finish.
The harder, but more elegant fix is to actually shift the door stop so it’s tight against the door. If there's paint and/or caulk, score it first with a utility knife. Then use a block and smack the stop tight against the door. The existing nails will shift quite a bit but may hold the stop away from the jamb when they bend. If that happens, use the block again to smack the stop flat to the jamb to flatten the nails. Check the door operation to make sure it doesn't drag on the stop before you renail it. Here's the downside: With painted or stained trim, there may be a bit of retouching to do.