It is impossible to draw a 145 degree angle using only a compass and straight edge.
If it was possible you could construct an angle of 5 degrees by using the construction for 150 degrees, then by combining 4 lots of 5 degree angles you could get an angle of 20 degrees, which has been famously shown to be not constructible in the proof that (general) trisection of angles is impossible.
It is possible to get 145 degrees but you have to employ some additional tool, see
https://en.wikipedia.org/wiki/Angle_tri ... er_methodsusing these methods you can trisect 60 degrees, to get 20 degrees, then bisect twice to get 5 degrees, and add multiple lots of 5 degrees together to get 145 degrees.
Hope this helped,
R. Baber.