Question

Is it possible for a triangle to have angle measurements of 1,2 and 177 degrees?

Answer 1

All triangles have inner angles that add up to 180º.
If they don't add up to 180º, then it's not a triangle.
1 + 2 + 177
3 + 177
180
These three angles add up to 180º, so it IS possible for a triangle to have angles of 1º, 2º, and 177º.