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Here is ur answer.. Hope this helps..
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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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