On June 20th of 1968, the day was Thursday :)
You might have forgotten a number in the question. Or perhaps you mean the 2nd? If you mean the 2nd, it fell on a Saturday. If you are referring to the 20th, it fell on a Wednesday.
August 15, 1925 was a Saturday.
August 27 1961 was a Sunday.
August 7th, 1956, was a Tuesday.
20th August 1952 was a Wednesday.
August 13, 1924 fell on a Wednesday.
20th August fell on a Thursday in 1959.
Monday
monday
Monday
August 20th, 2012 fell on a Monday. August 20th is also known as Discovery Day.
Saturday.
It was a Friday.
August 20th, 2009 fell on a Thursday.
August 20th, 2008 fell on a Wednesday.
August 20th, 1946 fell on a Tuesday.