ABCD is a parallelogram and BCEF is a square. In a square, all angles are 90&deg;.<br><br>\(\angle BCD\) in the parallelogram and \(\angle BCE\) in the square are adjacent.<br>\(\angle DCE = \angle BCD + \angle BCE\).<br>\(\angle BCE = 90&deg;\) (square).<br>From the figure, \(\angle BCD = 77&deg;\).<br>\(\angle DCE = 77&deg; + 90&deg; = 167&deg;\).<br><br>Final Answer: 167&deg;