lug nut size?

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Protege5 2003
What size are the lug nuts?

I bought a 13/16" tire iron at Pep Boys and that works fine. However yesterday I went to Sears and bought a 13/16" socket (so that I can torque them to spec) and it won't fit. My neighbor had a 13/16" socket and it wouldn't fit either (both were too small), but his 13/16" spark plug socket did fit. I'm thinking the lug nuts must be metric and slightly bigger than 13/16". 25 * 13 /16 = 20.3.

Are the lug nuts 21 mm???
 

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