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The diagonals of a rectangle ABCD meet at 0. If ∠ BOC = 44°, then ∠ OAD is equal to :
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- 90°
- 60°
- 100°
- 68°
- 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° |
2 | 2 |
Hence, ∠OAD = 68°