Math, asked by kumkum79, 11 months ago

maths of class 9
question of class 9

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Answered by ankusi1903
12

Here is ur answer

Hope it helps!!

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Answered by yashhazard2004
12

Given: Line AB ∥ CF and line BC ∥ ED

To find: ∠ ABC = ∠ FDE

Construction: G and h in diagram.

AB ∥ CD and BC is transversal both

So, ∠ ABC = ∠ PCG (linear pair angle)

BC∥ ED and PF is transversal line to both

So, ∠ ECG = ∠ CDH

∠ CD = ∠ FDE (Both angle is opposite)

∴ ∠ ABC = ∠ FDE (hence proved)

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