In the given figure AE=BC and \[\mathbf{AE}\parallel \mathbf{BC}\] and the three sides AB, CD and ED are equal in length. If \[\mathbf{m}\angle \mathbf{A}=\mathbf{10}{{\mathbf{5}}^{{}^\circ }}\], find measures of \[\angle \,\mathbf{BCD}\]:

In the given figure AE=BC and \[\mathbf{AE}\parallel \mathbf{BC}\] and

1.	In the given figure AE=BC and \[\mathbf{AE}\parallel \mathbf{BC}\] and the three sides AB, CD and ED are equal in length. If \[\mathbf{m}\angle \mathbf{A}=\mathbf{10}{{\mathbf{5}}^{{}^\circ }}\], find measures of \[\angle \,\mathbf{BCD}\]:
A.	\[{{138}^{{}^\circ }}\]
B.	\[{{165}^{{}^\circ }}\]
C.	\[{{88}^{{}^\circ }}\]
D.	None of these
Answer» C. \[{{88}^{{}^\circ }}\]

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In the given figure AE=BC and \[\mathbf{AE}\parallel \mathbf{BC}\] and the three sides AB, CD and ED are equal in length. If \[\mathbf{m}\angle \mathbf{A}=\mathbf{10}{{\mathbf{5}}^{{}^\circ }}\], find measures of \[\angle \,\mathbf{BCD}\]:

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