Q. 85.0( 1 Vote )

# The diagonals of a rectangle ABCD intersect at the point O. If ∠BOC = 50°, then ∠OAD = ?

A. 50^{o}

B. 55^{o}

C. 65^{o}

D. 75^{o}

Answer :

∠BOC = ∠AOD (Vertically opposite angles)

Angle AOD = 50°

In ∆ AOD, Since, the diagonals are equal, thus the bisectors will also be equal)

Thus, OA = OD

∴ ∠OAD = ∠ODA

= (180° - 50°)

= (130°)

= 65°

∴ Option C is correct

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