Math, asked by CuriousRohan, 1 month ago

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Answered by xXmonaXx99
17

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in attachment

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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

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Answered by joysmery734
5

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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