First of all, the left triangle is an equilateral triangle. Which means that all the interior angles are 60 degrees.
4w=60
w=15
Then all 3 sides are equal thus we can set up equation 3x-y=4y then simplify,
3x=5y
Going to the triangle on the right its isosceles we can set up equation 2x+50=180
2x=130
x=75
Substitute this back into equation above 3x=5y
5y=3*75
y=45
Therefore
x=75
y=45
w=15
Done!