Step 1: Calculate the total number of days in 2016. As 2016 was a leap year, it contained:\[366 \text{ days}\]This quantity is equivalent to:\[52 \text{ weeks} + 2 \text{ additional days}.\]
Step 2: Ascertain the day of the week for December 31, 2016. Given that January 1, 2016, fell on a Friday, and considering the 2 extra days in 2016 beyond full weeks, we advance the day by 2:\[\text{Friday} + 1 = \text{Saturday}\]\[\text{Saturday} + 1 = \text{Sunday}\]Consequently, December 30, 2016, was a Friday, and December 31, 2016, was a Saturday.Final Answer: (A) Saturday