Answer :
Given: ∠BDC = 25°
To Find: ∠ACD
∠ACD = ∠BCD
[ Diagonals of a rectangle are equal and thus will subtend equal angles at vertices]
∠ACD = 25°
In Δ COD,
Sum of angles of a triangle = 180°
∠ACD + ∠BCD + ∠COD = 180°
25° + 25° + ∠COD = 180°
∠COD = 180° – 50°
∠COD = 130°
∠COD + ∠AOD = 180°
[ Sum of angles on straight line = 180°]
130° + ∠AOC = 180°
∠AOC = 50°
Hence, (B) is the correct option.
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