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How do I find reference angles? Using this as a reference

http://www.howe-two.com/mathematicat/reference.html

I don't understand why in the first example it moves positive and then in the second it moves negative. I have a homework question to find the reference angle for -1860 which is going to be a 60 degree angle in quadrant 4 which way does it go? I say 30 degrees but it is wrong and I don't know why.

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