plural noun Geometry.
two angles having the same vertex and having a common side between them.
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British Dictionary definitions for adjacent angles
two angles that have the same vertex and a side in common
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012