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Pairs of corresponding angles i. ∠d, ∠h ii. ∠a, ∠e iii. ∠c, ∠g iv. ∠b, ∠f Pairs of alternate interior angles i. ∠c, ∠e ii. ∠b, ∠h Pairs of alternate exterior angles i. ∠d, ∠f ii. ∠a, ∠g Pairs of interior angles on the same side of the transversal i. ∠c, ∠h ii. ∠b, ∠e 1. In the given diagram, line l and m intersect at point P. The pairs of vertically opposite angles that are congruent are: i. ∠a ≅ ∠b ii. ∠c ≅ ∠d 2. For the given diagram, ∠a and ∠c are in linear pair ∴ ∠a + ∠c = 180° Also, ∠d and ∠b are in linear pair ∴ ∠d + ∠b = 180°Read more on Sarthaks.com - https://www.sarthaks.com/849253/angles-formed-lines-their-transversal-transversal-line-intersects-lines-distinct-points3. In the given diagram, If ∠a ≅ ∠b then ∠e ≅ ∠f, ∠c ≅ ∠d and ∠g ≅ ∠h 4. For the given diagram, If ∠e ≅ ∠d, then ∠g ≅ ∠b Also, ∠a ≅ ∠h and ∠c ≅ ∠fRead more on Sarthaks.com - https://www.sarthaks.com/849253/angles-formed-lines-their-transversal-transversal-line-intersects-lines-distinct-points5. For the given diagram, If ∠e + ∠b = 180°, then ∠g + ∠d = 180°.Read more on Sarthaks.com - https://www.sarthaks.com/849253/angles-formed-lines-their-transversal-transversal-line-intersects-lines-distinct-points
Answer:
1. A Transversal Intersects Two Different Lines at 8 Points.
2. When a Transversal Intersects Two Parallel Lines, the Alternate Interior Angles are Equal.
3. When a Transversal Intersects Two Parallel Lines the Corresponding Angles are Equal.
4. When a transversal Intersects Two Parallel Lines the Sum of co-Interior Angles is 180°.
5. When a Transversal Intersects Two Parallel Lines the Co-Interior Angles are Sum is 180°.
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