In the given figure, \( \angle B C D=40^{\circ}, \angle E D C=35^{\circ} \), \( \angle C B F=30^...

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In the given figure, \( \angle B C D=40^{\circ}, \angle E D C=35^{\circ} \), \( \angle C B F=30^{\circ} \) and \( \angle D E G=40^{\circ} \), then \( \angle B A E \) equals
(a) \( 70^{\circ} \)
(b) \( 50^{\circ} \)
(c) \( 110^{\circ} \)
(d) \( 35^{\circ} \)
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