Answer:
x = 80
y = 130
Explanation:
Given question is incomplete: find the complete question in the attachment.
Since k║m and m║n,
Structure enclosed between the parallel lines will be a parallelogram.
Since the sum of consecutive interior angles is 180°
(x - 30)° + (x + 50)° = 180°
2x + 20 = 180
2x = 160
x = 80
Similarly, y° + (x - 30)° = 180°
x + y - 30 = 180
x + y = 210
80 + y = 210 [Since x = 80]
y = 210 - 80
y = 130
Therefore, x = 80 and y = 130