Math, asked by Samikshya18, 1 year ago

Can anyone answer this question in attachment..

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Answered by Samyameen2002
4
Hii..
Here is ur answer.. Hope this helps..
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Answered by siddhartharao77
1

Answer:

AB || CD

Step-by-step explanation:

From figure:

Since, BM ⊥ PQ, CN ⊥ RS

∴ BM || CN

∠MBC = ∠NCB {Alternate interior angles}   ---- (i)

∠ABM = ∠MBC {Angle of incidence = Angle of reflection}  ---- (ii)

∠NCB = ∠NCD {Angle of incidence = Angle of reflection}  ----- (iii)

From (i), (ii) and (iii), we get

∠ABM = ∠NCD  ----- (iv)

On adding (i) & (iv), we get

∠MBC + ∠ABM = ∠NCB + ∠NCD

⇒ ∠ABC = ∠BCD

But these are alternates angles and they are equal.

Hence, AB || CD.


Hope it helps!

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