Question

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

Answer 1

∵ Lines are parallel

∴ q = t and p = 60° ..........(corresponding angles)

But t + 60° = 180° ........(linear pair)

⇒ t = 180°− 60° = 120°

t = r ........(vertically opposite angles)

∴ r = 120°

q = t = 120°

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

x + s = 180° .......(linear pair)

⇒ 110° + s = 180°

⇒ s = 180°− 110° = 70°

s = ∠1 ............(corresponding angles)

∴ ∠1 = 70°

y = ∠1 = 70° ........(vertically opposite angles)

Hence x = 110°, y = 70°, p = 60°, q = 120°, r = 120°, s = 70°, t = 120°