Answer

  1. 60º
    Solution:
    Since ABCD is a cyclic quadrilateral
    $\angle\text{B}+\angle\text{D}=180^\circ$
    $60^\circ+\angle\text{D}=180^\circ$
    $\angle\text{D}=120^\circ$
    Now since AD is parallel to BC
    $\angle\text{C}+\angle\text{D}=180^\circ$
    $\angle\text{C}+120^\circ=180^\circ$
    $\angle\text{C}=60^\circ$

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