I got it with 1st post. Yes, I know you already have 1 stick installed. Changing the way you ask the question will not change the answer.
1. You have a dual channel motherboard. Dual, meaning two, dictates that the MoBo was designed to work optimally with two (2) sticks installed.
2. Using just one (1) stick means that from the purchase date till now, the performance of your system has been compromised. The correct choice for 8GB of system RAM for your MoBo is 2 x 4Gb not 1 x 8GB.
3. If I had the ability to predict whether or not mixing two different sticks would work in any given situation, I'd be reading the stock market page or horse racing pages at the moment

.
4. If you want to be sure that any 2 sticks will work together, then there is one (1) and only one (1) way to insure that. Buy 2 sticks in the same package; that's it ... there is no other option. Asking the same question again with the words rearranged still gets the same answer.
5. The question is harder since we have no idea of the relevant spec data on your installed RAM
a) We know manufacturer (Corsair)
b) We know Model Line (Vengeance)
c) We do not know specific Model No. (i.e. CMK16GX4M2A2133C13)
d) We know type (DDR3)
e) We know speed (1600)
f) We do not know timings (i.e. 9-11-11-24)
g) We do not know voltage (i.e 1.65v)
h) We don not know the module supplier for each set (i.e. Hynix, Samsung, etc)
5. As above,
your chances of them working together are pretty good at the 1600 speed.
6. As above, the more of those items a) thru h) that are the same, the better you chances become at trying to get them "play together". You could answer every one of them tho and still all anyone could say is that they "might work" ... or
"they'd likely work, but you may have to adjust BIOS settings"
7. As above, even if every item is the exact same thing,
there is still no guarantee that they will work together. The manufacture of electronic components is subject to a level of variability; you may have heard of the "silicon lottery". Some sticks come off the line capable of running at 2400... some at 2133, each time a stick fails, it gets tested again at a lower performance level. They test RAM in groups of 2 or 4 to make sure that the two (or four) sticks work together. If they pass the test, they are packaged together. If they don't, they are sold as separate sticks to unsuspecting buyers
8. As above, if ***you** want to take the shot at making them work, and you don't know your way around the BIOS, to change those settings, then your best bet is to call Corsair or your MoBo manufacturer's tech support and have you guide you thru it. You may get lucky and they work right away with no changes. But no one can guarantee that they will.