# Ex 5.2, 2 - Chapter 5 Class 7 Lines and Angles

Last updated at Sept. 11, 2018 by Teachoo

Last updated at Sept. 11, 2018 by Teachoo

Transcript

Ex 5.2, 2 In the adjoining figure, identify (i) the pairs of corresponding angles. For lines a and b, with transversal c. ∴ ∠1 and ∠5 are corresponding angles ∴ ∠2 and ∠6 are corresponding angles. ∠3 and ∠7 are corresponding angles. ∴ ∠4 and ∠8 are corresponding anglesSo, corresponding angles are ∠1 & ∠5 ∠2 & ∠6 ∠3 & ∠7 ∠4 & ∠8 Ex 5.2, 2 In the adjoining figure, identify (ii) the pairs of alternate interior anglesFor lines a and b, with transversal c. ∴ ∠2 and ∠8 are alternate interior angles. ∴ ∠3 and ∠5 are alternate interior angles. So, alternate interior angles are ∠2 & ∠8 ∠3 & ∠5 Ex 5.2, 2 In the adjoining figure, identify (iii) the pairs of interior angles on the same side of the transversal. For lines a and b, with transversal c. ∴ ∠2 and ∠5 are alternate interior angles on the same side of transversal. ∴ ∠3 and ∠8 are interior angles on the same side of the transversal. So, interior angles on same side of transversal are ∠2 & ∠5 ∠3 & ∠8 Ex 5.2, 2 In the adjoining figure, identify (iv) the vertically opposite angles.∴ ∠1 and ∠3 are vertically opposite angles ∠2 and ∠4 are vertically opposite angles For lines b and c ∴ ∠5 and ∠7 are vertically opposite angles. ∠6 and ∠8 are vertically opposite angles. So, vertically opposite angles are ∠1 & ∠3 ∠2 & ∠4 ∠5 & ∠7 ∠6 & ∠8

Angles made by the transversal - Theory

Intersecting Lines

Parallel Lines

Transversal

Angles made by the transversal

Interior angles

Alternate Interior Angles

Exterior angles (when transversal intersects two parallel lines)

Alternate exterior angles

Proof of Alternate Exterior Angle Equal

Interior angles on same side of transversal

Corresponding Angles

Ex 5.2, 2 You are here

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.