On Friday, April 8, 2016 at 9:44:05 AM UTC-4, Tammy Longest wrote:
Delta faucet set screw won't budge, so hubby drilled out set screw placed tap
out and used pliers to turn it when that broke off in the hole. Now what
should we do to get that out and the set screw.

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Without knowing what exactly this set screw goes into, no way to tell
you what all the options are. But sounds like you can forget about
getting the set screw out and proceed with whatever the other options
are, eg, removing/replacing a stem, the whole faucet, etc. Unless there
is enough of the "tap out" let, (whatever that is, assuming you mean an
easy out type screw extractor) so you can grip it with pliers and that
works, which seems unlikely.