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Parallelogram

ABCD is a cyc...

Question

ABCD is a cyclic quadrilateral, if $A B ∥ C D, A D = 5 c m$ then the length of BC is

3 cm

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4 cm

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5 cm

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6 cm

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Solution

The correct option is C 5 cm
Given the AB II CD in cyclic quadrilateral ABCD and AD= 5 cm
So $∠ A B D = ∠ A D C$ and $∠ B A D = ∠ D C B$
So AD=BC and AB=CD
Then cyclic quadrilateral ABCD is parallelogram
Then BC=AD =5 cm

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