Answer

  1. $\angle\text{BDA}$
    Solution:
    In triangle ABD and CBD
    AB = BC and $\angle\text{ABD} = \angle\text{CBD},$ (Given)
    BD (Common)
    Therefore In triangle ABD and CBD are congruent by SAS criteria.
    Therefore, $\angle\text{BDA}=30^\circ$ (by CPCT)

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