Question

If two straight lines are cut by a transversal such that the tisutor of corresponding angles are parallel to each other then prove that the straight lines are also parallel.​

Answer 1

Step-by-step explanation:

To prove : AB∥CD

Proof :

We have two straight lines AB and CD such that when transversal line intersects line AB at P line AB at P and line CD at Q, a pair of alternate interior angles is equal.

⇒ ∠APQ=∠PQD [ Given ] ---- ( 1 )

⇒ ∠APQ=∠SPB [ Vertically opposite angles are equal ] ---- ( 2 )

From ( 1 ) and ( 2 ), we get

⇒ ∠SPB=∠PQD

If we take lines AB and CD, we see that a pair of corresponding angles is equal.

This means line AB is parallel to CD.

∴ AB∥CD ---- Hence proved

Answer 2

Answer:

Proof : We have two straight lines AB and CD such that when transversal line intersects line AB at P line AB at P and line CD at Q, a pair of alternate interior angles is equal. If we take lines AB and CD, we see that a pair of corresponding angles is equal. This means line AB is parallel to CD.

please please please follow me♡´･ᴗ･`♡ please please mark me as Brainliest answer♡´･ᴗ･`♡