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B
60°
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C
45°
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D
90°
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Solution
The correct option is D
90°
In ΔBDA, x+x+y=180∘ (by angle sum property) Similarly, in ΔBDC,x+x+∠BDC = 180∘ Comparing the two equations, we have ∠BDC=y. Also, ∠BDC + ∠BDA = 180∘ (linear pair) ⟹y+y=180∘ ⟹y=90∘