Math, asked by prathamkaushal, 1 year ago

A traversal passes through two parallel lines . Prove that bisectors of alternate angles are equal .

Answers

Answered by Anonymous

Hello !
___________________________________________________________
Given : AB II CD
   PQ is transversal
   TU and SR are bisectors of angle ATQ and angle DRP resp.
___________________________________________________________
To prove: TU = SR
___________________________________________________________
Proof : IN ΔTUR and ΔTSR
            ∠ATQ = ∠DRP (AIA)
            ∠TRU = ∠RTS (AIA)
   TR = RT (Common)
Hence , ΔTUR ≈ ΔTSR (ASA)
________________________________________________________
___________________________________________________________
There fore ,TU = SR (CPCT)

Attachments:

prathamkaushal: Thanks a lot

Anonymous: :D No probs

prathamkaushal: Oops I mistakenly put equal instead of parallel in question will it be same for parallel too?

Anonymous: No its wrong dear

prathamkaushal: Can you help me with this ?

Previous Question

Next Question