Major props to anyone who can solve this

[MrRubix]

I know the answer and how to do this, but I am curious to see if anyone else is able to reason out the answer with plain old geometry:

You have a triangle, UVW. Sides UV and UW are equal in length. Now assume there is a line from W to side UV called WX, and a line from V to side UW called VY. Now suppose there is another line, call it XY. Angle YVW is 60 degrees, angle VWX is 70 degrees, angle UVY is 20 degrees, and angle XWY is 10 degrees. What is the degree of angle YXW?