Question

34. In the given figure, prove that BF || DE.

Answer 1

BF || DE because

< FBC = < EDB = 120° ( corresponding angle )

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Answer 2

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to prove = BF ll DE

proof :-

in triangle ABC ,

A + B + C = 180° ..........angles of triangle

65 + B + 55 = 180°

120 + B = 180

B = 180- 120

B = 60

hence,

ABC + CBF = 180........linear pair

60 + CBF = 180

CBF = 180 - 60

CBF = 120

therefore ,

BDE = CBF = 120 ........ corresponding angle test for parallel lines

hence proved,

line BF ll line DE

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