Answer :

Answer:

x = 80

y = 130

Step-by-step 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

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