The June 1975 Gazette (59, No. 408, 98-106) carried an article by Colin Tripp about the so-called “adventitious angles” problem: in the isosceles triangle in Fig. 1, for certain given values of the angles marked a, b, c, to find θ. Correspondence to which this gave rise was summarised in a “progress report” in March 1977 (61, No. 415, 55-58). This cleared up certain points raised by Tripp, using trigonometric methods; and its publication also had the desired effect of stimulating some further response, which has settled most of the outstanding questions. It seems now to be an appropriate time for the editor to produce a “final summary” for those readers who have taken an interest in the problem.