Question

Prove that alternate interior angle of parallel line are equal

Answer 1

Step-by-step explanation:

• Given : Line l || line m

Line n is transversal

To prove: angle b = angle d

Proof: angle d+ angle c =180° --------1 angles in linear pair

angle c+ angle b = 180° ---------2 interior angle theorem

angle d+ angle c = angle c + angle b ----- from 1 & 2 ( Angle c get cancelled)

therefore angle d = angle b

Hence proved

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