Last updated at Aug. 24, 2021 by

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.

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.