Answer:
x = 20 degrees ; y = 70 degrees 
Explanation:
angle supplementary to 40 = 180 - 40 = 140 degrees 
in isosceles triangle has the angles of the base with the same measure
140 + (2x) = 180 
2x = 180 - 140 
2x = 40 
2/2 x = 40/2 
x = 20 degrees 
90 - 20 = 70 degrees 
70 + y + 40 = 180 
110 + y = 180 
y = 180 - 110 
y = 70 degrees