1) In triangleABC , AB = BC. The angle bisector of angleABC is drawn to meet AC at D. A line from D is drawn to meet BC at E such that AD = DE. If DE//AB, find angleDCE.
2) In triangleABC , AC = AB. A live which is perpendicular to BC is drawn from A to meet BC at D. From B , a line is drawn to meet AD produced at E such that AE = AB. If AC // BE, find angleEBD.