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