The diagonals of a rectangle ABCD meet at O. If Angle BOC=44, find angle OAD.
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⇒ ∠BOC=∠AOD [ Vertically opposite angles ]
∴ ∠AOD=44
We know, that diagonals of rectangle are equal and they are bisect each other equally.
∴ OA=OB=OC=OD
In △AOD,
⇒ ∠OAD=∠ODA [ Base angles of equal sides ]
⇒ ∠AOD+∠OAD+∠ODA=180
⇒ 44
+∠OAD+∠OAD=180
⇒ 2∠OAD=136
∴ ∠OAD=68
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