There is a plane on top of a triangle with angles of 40 degrees and 80 degrees. The 40 degree angle is on the bottom left and the side opposite is Y. The 80 degrees angle is on the bottom right and the side opposite is X.

Question

So... What is X and what is Y?

Answer 1

if all you have is angles, there is no way to find the sides. All similar triangles have the same angles, but different sides.

However, you do know that

X/sin40 = Y/sin80

what's the stuff about a plane on top? What does that have to do with anything?

Answer 2

boring