Question

The diagonals of a rectangle ABCD intersect at O. if angle BOC =44 ° find angle OAD

Answer 1

angle BOC is equal to 44 degree then angle AOD is equal to 44 degree because vertically opposite angle

Answer 2

⇒ ∠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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