Discussion

Explanation:

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In a rhombus opposite angles are equal and adjacent angles are complementary while diagonals bisect respective angles.

∴ ∠DAC = 40° ⇒ ∠DAB = 80° ⇒ ∠ADC = 180° - 80° = 100°

⇒ ∠BDC = 1/2 × 100° = 50°

Hence, option (b).

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