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1. If one angle of a cyclic quadrilateral is \(75^\circ\), then the opposite angle is:
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In the figure, \(ABCD\) is a cyclic quadrilateral in which \(DC\) produced to \(E\) and \(CF\) is drawn parallel to \(AB\) such that \(\angle ADC = 80^\circ\) and \(\angle ECF = 20^\circ\), then \(\angle BAD =\) ?