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  1. The diagonals of a rectangle ABCD meet at 0. If ∠ BOC = 44°, then ∠ OAD is equal to :


    1. 90°
    2. 60°
    3. 100°
    4. 68°
    5. None of these
Correct Option: D

From above given figure , we have
In the rectangle ABCD.
Given :- ∠BOC = 44°
AB = CD and AD = BC.
Since the diagonals of a rectangle bisect each other,
∴ OA = OD i.e., ∠ODA = ∠OAD.
But, ∠AOD = 44° (Vertically opposite angle to ∠BOC)

∴ ∠OAD =1(180° - 44°) =1(136°) = 68°
22

Hence, ∠OAD = 68°



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