Answer:
x = 50
y= 70
z = 60
w = 70
Explanation:
If the two triangles are similar, the angles are equal
A = A1
B = B1
C = C1
We can tell from the diagram
A=60 so A1 = z = 60
B1 = 50 so B = x = 50
The angles of a triangle sum to 180
A + B+ C = 180
60+ 50 + y = 180
110 + y =180
Subtract 110 from each side
y = 180-110
y = 70
C = y = 70
We know that C = C1 = w = 70