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If you are given only a compass and a ruler which angle is not possible to construct?(a) 37.5(b) 33.75(c) 40(d) 120This question was addressed to me in final exam.I would like to ask this question from Geometrical Construction topic in chapter Lettering Practice, Scales & Curves of Civil Engineering Drawing

Answer»

The correct choice is (c) 40

Easy EXPLANATION: It is not possible to construct an ANGLE that is not a MULTIPLE of 15. Angle 40 is not a multiple of 15 while 120 is multiple of 15. Angle 37.5 is formed by angular bisector of angle 75 which is again a multiple of 15. Angle 33.75 is formed by bisecting angle 135 two times, is also a multiple of 15.



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