An angled dual-polarity mass spectrometer includes a dual-polarity ion generator, a first mass analyzer, and a second mass analyzer. The dual-polarity ion generator includes an ion source to generate positive ions and negative ions from a sample, and electrodes to generate electric fields for guiding the negative ions into a beam of negative ions and guiding the positive ions into a beam of positive ions. The first mass analyzer can analyze the negative ions, and the second mass analyzer can analyze the positive ions. The central axes of the first and the second mass analyzers are at an angle between 0 to 179 degrees.