Question

In the given figure, line l intersects two parallel lines PQ and RS. Then, which one of the following is not true?

विकल्प

• ∠1 = ∠3

• ∠2 = ∠4

• ∠6 = ∠7

• ∠4 = ∠8

Answer 1

∠4 = ∠8

Explanation:

From the given figure, PQ || RS and l is transversal, Therefore,

∠1 = ∠3  ...[Corresponfing angles]

∠2 = ∠4   [Corresponding angles] ...(i)

Also, ∠5 = ∠6  [Vertivally opposite angles] ...(ii)

And ∠5 = ∠7  [Corresponding angles] ...(iii)

⇒ ∠6 = ∠7   ...[From equations (ii) and (iii)]

Also, ∠2 + ∠8 = 180°  ...[Linear pair]

⇒ ∠4 + ∠8 = 180°  ...[∠2 = ∠4]