Question

Line segment FG is the midpoint of isosceles triangle ABC and line segment KM is the midpoint of trapezoid CDEF. Line segment EF is parallel to Line segment KM is parallel to Line segment DC. Find the following measures. Show your work and describe any properties or theorems you use.

Answer 1

I'm not sure what you wanted so I just made a table:

$AB=60:AC=44:AD=22:AG=30:AL=15\\BC=60:BF=30:BG=30:BL=45:BM=45\\CD=66:CF=30:CM=15\\DE=30:DK=15\\EF=44:EG=22:EK=15\\FG=22:FM=15\\GL=15\\KL=22:KM=66\\LM=33$