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Theorem 6.2 - If transversal intersects two parallel lines, then each pair of alternate interior angles are equal .jpg

2 Theorem 6.2 - Hence pair of alternate angles are equal.jpg


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

Theorem 6.2 :- If a transversal intersects two parallel lines, then each pair of alternate interior angles are equal. Given :- Two parallel lines AB and CD. Let PS be the transversal intersecting AB at Q and CD at R. To Prove :- Each pair of alternate interior angles are equal. i.e, ∠ BQR = ∠ CRQ and ∠ AQR = ∠ QRD Proof :- First, we will prove ∠ BQR = ∠ CRQ From (1) and (2) ∠ BQR = ∠ CRQ Similarly we can prove ∠ AQR = ∠ QRD Hence, pair of alternate interior angles are equal. Hence proved.

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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 .
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