Question

3. In fig. 6.15 angle PQR = angle PRQ, then prove that angle POS = angle PRT

Answer 1

I hope this will help u

Answer 2

Well ,

Given : Angle PQR= Angle PRQ

To prove : Angle PQS = Angle PRT

Proof :
Angle PQS + Angle PQR = 180° ( Linear Pairs ) -(1)

Angle PRT + Angle PRQ = 180° (Linear Pairs ) -(2)

Now , by (1) and (2) , we have :

Angle PQS + Angle PQR = Angle PRT + Angle PRQ
Hence proved ,
Angle PQS = Angle PRT
(Because Angle PQR= Angle PRQ are given equal and if equals are subtracted from equals then the remainders are also equal )