Question

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

Answer 1

∵ Lines are parallel

∴ x = z ......(corresponding angles)

But z + y = 180° .........(linear pair)

But y = 55° ........(vertically opposite angles)

∴ z + 55° = 180°

⇒ z = 180°− 55°

⇒ z = 125°

But x = z

∴ x = 125°

Hence x = 125°, y = 55°, z = 125°