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If you are given only a compass and a ruler which angle is not possible to construct?

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in Civil Engineering Drawing by (128k points)
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) 120

This 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

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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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