y = 71
The angle on the left bottom of Z shape is an alternate angle . So it's equal to 38.
The triangle here is an isosceles triangle cuz it has two equal sides .so the two angles opposite to the equal sides are also equal, which means the other angle is also =y .
Since the sum of interior angles of a triangle = 180 , we can form an equation:
38+y+y =180
38 +2y =180
2y =180-38
Y= 71