Question

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

Answer 1

∵ 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°