Question

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

Answer 1

∵ Lines are parallel

∴ x + 110° = 180° .......(co-interior angles)

x = 180°− 110° = 70°

and x + y = 180° ..........(co-interior angles)

⇒ 70° + y = 180°

⇒ y = 180°− 70° = 110°

z = y ...........(corresponding angles)

∴ z = 110°

Hence x = 70°, y = 110°, z = 110°