Question

in the figure if angle pqr = angle prq then prove that PQS= prt

Answer 1

Angle PQS=prt. eq.1
PQR+PQS=180. eq.2
prq+prt=180. eq.3
PQS+prt=180. from eq.1
subtracting angle PQS from eq.2and 3
pqs-pqs+pqr=pqs-pqs+prt
PQS=prt
hence proved

Answer 2

Hello . Its simple to answer.
Just follow these steps. but please mark as brainliest...
Given,
Angle PQR = angle PRQ.
To Prove : Angle PQS = Angle PRT.
Proof: angle PQS + angle PQR = 180° = angle PRT + angle PRQ
( since they are liner pair and sum of linear angles is 180 °)
Therefore angle PQS = angle PRT
(since angle pqr and angle prq will be cancelled because they are equal)
Hence proved....
Hope this helps
:)