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Can't get the answer.
In further review I have come up with 79.3 degrees for the unknown angle When I drew a diagram I found that CD was very close to a side of the equilateral triangle and decided that the angle could be calculated
1 find the length of AE using 8 as a side of equilateral .Altitude of AEC and segments on AC calculate using angles of 20 and60
2 AD =AC +AD
3 Drop a perpendicular from D to AC extended.Mark F the intersection of same with AC ext
4 Angle DCF calculates fromDF and CF as 40.7
5 180-40.7-60= unknown =79.3