Question

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

Answer 1

∵ Lines are parallel

∴ x = p

and p + 120° = 180° ........(alternate angles)

⇒ p = 180°− 120° = 60°

∴ x = 60°

q = 120° ........(corresponding angles)

y = 110° .........(vertically opposite angles)

and ∠1 + 110° = 180° .......(co-interior angles)

∴ ∠1 = 180°− 110° = 70°

But z = ∠1 .........(vertically opposite angles)

∴ ∠z = 70°

Hence x = 60°, y = 110°, z = 70°, p = 60°. q = 120°