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In the given figure, m || n and p is transversal. Find x and y.

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Given m || n and p is transversal.

 So, ∠x = 120° (vertically opposite angles) 

45 + y = x (corresponding angles) 

⇒ 45 + y = 120° (we know ∠x = 120°) 

⇒ 45 + y – 45 = 120-45°

⇒ y = 75° 

x = 120° and y = 75°

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