In the given figure, the directed lines are parallel to each othe… - Vidyadip

Question

In the given figure, the directed lines are parallel to each other. Find the unknown angles.

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Answer

∵ Lines are parallel
∴ x = 50° ...........(alternate angles)
and y + 120° = 180° .......(co-interior angles)
∴ y = 180°− 120° = 60°
But x + y + z = 360° .........(angles at a point)
⇒ 50° + 60° + x = 360°
⇒ 110° + z = 360°
⇒ z = 360°− 110° = 250°
Hence x = 50°, y = 60°, z = 250°

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