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In the given figure, $∠ B < ∠ A$ and $∠ C < ∠ D$ . Identify the correct relation.

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AC < BD

AD > BC

AD < BC

OD > CO

answer is C.

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Detailed Solution

Here, ∠B < ∠A
⇒ AO < BO …..(i) [Side opposite to greater angle is longer.]
and ∠C < ∠D
⇒ OD < CO …..(ii) [Side opposite to greater angle is longer.]
Adding (i) and (ii), we obtain
⇒ AO + OD < BO + CO
⇒ AD < BC

Therefore, option C is the correct answer.

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