Answer

  1. 60º
    Solution:
    As per the question
    $\angle\text{BAD} = \angle\text{BCD} = 75^\circ$ (opposite angles of parallelogram)
    Now, in $\triangle\text{BCD},$
    $\angle\text{BCD} + \angle\text{CBD} + \angle\text{BCD} = 180^\circ$
    $45^\circ + \angle\text{CBD} + 75^\circ = 180^\circ$
    $\angle\text{CBD} = 60^\circ$

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