+407 1. In the diagram below, \(AM=BM=CM\) and \(\angle BMC+\angle A = 201^\circ.\) Find \(\angle B\) in degrees.
2. In the diagram, \(\triangle BDF\) and \(\triangle ECF\) have the same area. If \(DB=2,BA=3,\) and \(AE=4,\) find the length of \(\overline{EC}.\)
3. In triangle \(ABC\), \(AB=AC,\) \(\angle ABC=72^{\circ},\) and segment \(\overline{BD}\) bisects \(\angle ABC\) with point D on side \(\overline{AC}.\) If point E is on side \(\overline{BC}\) such that segment \(\overline{DE}\) is parallel to side \(\overline{AB}\) and point F is on side \(\overline{AC}\) such that segment \(\overline{EF}\) is parallel to segment \(\overline{BD},\) how many isosceles triangles are in the figure shown? 
