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Question
In the given figure, the directed lines are parallel to each other. Find the unknown angles.
Solution
From 0, draw a line parallel to the given parallel lines
∴ Lines are parallel
∴ ∠1 = 160° and ∠2 = 130° .......(alternate angles)
∴ y = ∠1 + ∠2 = 160° + 130° = 290°
But x + y = 360° ........(angles at a point)
⇒ 290° + x = 360°
⇒ x = 360°− 290° = 70°
Hence x = 70°, y = 290°
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