The answer is 122°
I promise you're about have an "Aha" moment in just a second ;)
As we all know, a circle is a total of 360° all the way around. Another thing, if we look at the graph, the tick marks on the lines that go through the circle mean that they are both the same exact length. Since it is a singular angle formed where the two lines meet and the two lines are congruent, then that means the angles of the circle not listed on either side of those lines will be congruent.
Since, the total ° of a circle is 360°, we can subtract what we already have, (116°)
360° - 116° = 244°
Now, this is the combination of both of the angles, but we are only looking for one, so we divide 244 by 2.
244 ÷ 2 = 122
And that leaves us with ∠2 = 122°
Thank you for your question! I hope this helped! Have an amazing day!! :D