Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • In Fig. 6.15, ∠ PQR = ∠ PRQ, then prove that ∠ PQS = ∠ PRT.

3. In Fig. 6.15, \angle PQR = \angle PRQ, then prove that \angle PQS = \angle PRT.

Answers (1)

best_answer


Given that,
ABC is a triangle such that \angle PQR = \angle PRQ  and ST is a straight line.
Now, \angle PQR + \angle PQS = 180^0     {Linear pair}............(i)
Similarly, \angle PRQ + \angle PRT = 180^0..................(ii)

equating the eq (i) and eq (ii), we get

\angle PQR +\angle PQS =\angle PRT + \angle PRQ   {but \angle PQR = \angle PRQ }
Therefore, \angle PQS = \angle PRT
Hence proved.

Posted by

manish painkra

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE 10th Result 2025: Evaluation criteria, marking scheme, supplementary exams; what we know
anam-khan

Holding CBSE Class 10 twice can lead to ‘paper leaks, irregularities’, warns parliament panel
anam-khan

When will CBSE Class 10 results 2025 be declared? Overall exam paper analysis

Latest Question