Gather all the ingredients and equipment listed in the previous table and chill a cocktail glass in the freezer.
Using a jigger, measure out 4 ounces of gin, 1.5 ounces of sweet vermouth, 1.5 ounces of orange liqueur, and 2 dash of Angostura bitters.
Mix the gin, vermouth, orange liqueur, and bitters in a mixing glass.
Stir the ingredients with a bar spoon for about 20-30 seconds until the mixture is well chilled in a mixing glass filled with ice.
Slowly pour the mixture through a strainer into a chilled cocktail glass, discarding any ice or solids in the strainer as you pour.
With a peeler or zester, twist a strip of orange peel over the surface of the drink to release the oils, and then place it on the glass's rim.
Sip slowly and savor the flavors and aromas of the Statesman Cocktail.