Theorem 6.8 - if side of triangle is produced then the exterior angle so formed.jpg

2 Theorem 6.8 - Hence exterior angle is sum of two opposite interior angles Hence Proved.jpg

  1. Chapter 6 Class 9 Lines and Angles
  2. Serial order wise
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Transcript

Theorem 6.8 :- If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles. Given :- A PQR ,QR is produced to point S. where PRS is exterior angle of PQR. To Prove :- 4 = 1 + 2 Proof:- From (1) and (2) 3 + 4 = 1 + 2 + 3 4 = 1 + 2 PRS = RPQ + PQR Hence, exterior angle is sum of two opposite interior angles. Hence proved

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.