Many people change from Deomcrat to Republican but I think this was the issue
Angle was a registered Republican until 1984, when she switched to the Democratic party. She stayed a Democrat at least through March, 1988.
I guess when she went from Republican to Democrat 1984 to 1988 she was not a supporter of Reagan
Understanding many times comes from reading the article. This was in it:
Campaign spokesman Jerry Stacy told the AP Angle switched parties to work for a conservative Democrat running for state Senate, but she voted for Reagan in both 1980 and 1984.