Given 2 angles of a triangle, how many triangles are possible? Explain why. Seeing how a triangle is 180 degrees, and if they give you two angles, that automatically locks the 3rd one at a certain value that will equal 180 when added with the other 2 angles. So I get 1. My other idea was that it was infinity since you can divide the triangle with the two given sides into infinite smaller pieces as you get smaller and smaller. I also think I might be missing a big point which is taking into consideration the sides of the triangle. Any help would be very appreciated.