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since we don't know the other angles: ∠ BDA and ∠BAD, then we cant find ∠ BAD or not possible to tell
ABCD is a quadrilateral. BCD is an isosceles triangle. BC = CD, ∠BDC = 58° and ∠ABD = 57°. The figure above is not drawn to scale. Each statement is either true, false, or not possible to tell from the information given. Put a tick (✓) to indicate your answer. ∠BAD = 64°.
Answer: Not possible to tell
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since we don't know the other angles: ∠ BDA and ∠BAD, then we cant find ∠ BAD or not possible to tell