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Angles made by the transversal - Theory
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 Important You are here
Angles made by the transversal - Theory
Last updated at May 29, 2023 by Teachoo
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