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CBSE Class 9 Answered

Side QR of Triangle  PQR is produced to a point S as shown in the figure. The bisector of angke meets QR at T.  Prove that angle PQR +anglePRS=2anglePTR
question image
Asked by Nimmi | 20 Sep, 2018, 02:09: PM
answered-by-expert Expert Answer
angle PQR +angle PRS
= angle PQR +angle PTR + angle TPR.............angle PRS = angle PTR + angle TPR (ext angle)
now angle TPR = angle TPQ
angle PQR = angle PQT
= angle PQT +angle PTR + angle TPQ
= angle PTR+angle PTR...............angle PQT + angle TPQ = angle PTR (ext angle)
=2 angle PTR

Answered by Arun | 24 Sep, 2018, 12:20: PM

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