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If you have added your data to your map (which is using WGS84) and it is displaying correctly, right click the layer in the table of contents, choose DATA>> EXPORT DATA and select "use the same coordinate system as the data frame". The resulting shapefile is in the same coordinate system as your data frame now. Add 2 fields, and calculate the geometry to add xy values in WGS84.
Thanks for the quick reply. I have added the data to my WGS84 map and it displays correctly. I have exported the data and selected the same coordinates as the data frame (WGS84). However, I am not sure how to add the 2 fields ( x and Y) and convert the actual points (source data) to WGS84. What is the calculation for the geometry to convert lat longs (Guam 1963) to UTM WGS84 or where can I find it?