Question

please ans this qs its urgent​

Answer 1

GIVEN:-

In attachment.

TO VERIFY:-

That's the two lines are parallel.

SOLUTION:-

Hey mate! To prove it we will take an example with respect to the question.

The transversal AD intersects the two lines PQ and RS at points B and C respectively. BE is the bisector of ∠ABQ and CF is the bisector of ∠BCS.As, BE is the bisector of ∠ABQ, then,

• ∠ABE= 2/1 ∠ABQ

In the same way,

• ∠BCF= 2/1 ∠BCS

Since BE and CF are parallel and AD is the transversal, therefore, by corresponding angle axiom,

• ∠ABE=∠BCF

• 2/1 ∠ABQ= 2/1 ∠BCS

• ∠ABQ=∠BCS

Therefore, by the converse of corresponding angle axiom,

• PQ∥RS.

hey mate! So through this example it clear that when a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, then prove that the two lines are parallel.

Hope it helped!

Thanks for asking!

Answer 2

yes there two lines are parallel