We have used 106 pb(-1) of data collected in <p(p)over bar> collisions at root s = 1.8 TeV by the Collider Detector at Fermilab to measure jet angular distributions in events with two jets in the final state. The angular distributions agree with next to leading order predictions of QCD in all dijet invariant mass regions. The data exclude at 95% CL a model of quark substructure in which only up and down quarks are composite and the contact interaction scale is Lambda(ud)(+) less than or equal to 1.6 TeV or Lambda(ud)(-) less than or equal to 1.4 TeV. For a model in which air quarks are composite the excluded regions are Lambda(+) less than or equal to 1.8 TeV and Lambda(-) less than or equal to 1.6 TeV. RI Vucinic, Dejan/C-2406-2008; Chiarelli, Giorgio/E-8953-2012; Azzi, Patrizia/H-5404-2012
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