web analytics

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
Ask Download

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

About the Author

CA Maninder Singh's photo - Expert in Practical Accounts, Taxation and Efiling
CA Maninder Singh
CA Maninder Singh is a Chartered Accountant for the past 8 years. He provides courses for Practical Accounts, Taxation and Efiling at teachoo.com .
Jail