By using a protractor and a straight edge
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I don't think you can. You can construct a 60º angle by compasses, but 65º sounds like a "Trisect" problem which (despite many claims to the contrary over many years) is not mathematically possible.
With a protractor
Is 65 an acute angle
An acute angle
A 40 degree acute angle can be constructed with a straight edge and a protractor.