Abstract: An angularity gauging apparatus for determining if an angle formed between two longitudinally joined cylindrical surfaces is within expected straightness tolerances without requiring a direct measurement. The apparatus includes a fixed locating member and pivotable locating member which respectively interface with the two surfaces being examined. The members are pivotally connected so that angular displacement of their longitudinal axes about the connecting point is possible. A signaling device activates to inform a user when the two surfaces under examination form an angle to each other which equals or exceeds a maximum allowable angle preset into the apparatus. A device is also incorporated for adjusting the apparatus to allow a user to change the angle at which the signaling device activates.