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    Question

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    A 45 cm Correct Answer Incorrect Answer
    B 18 cm Correct Answer Incorrect Answer
    C 21 cm Correct Answer Incorrect Answer
    D 24 cm Correct Answer Incorrect Answer

    Solution

      ∠ BDE = 360 – (125 + 55 + 70) = 110 ∠ ADE = 180 - ∠ BDE = 180 – 110 = 70 In ∆ADE and ∆ABC ∠ ADE = ∠ ACE (each 70 ° ) ∠ A = ∠ A (common) ∆ADE   ∆ACE (By AA rule) (AE)/(AB) = (DE)/(BC) (21)/(AB) = 7/15, AB = 45 cm

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