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

Question

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

Philoid · Accepted 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