hi,
consider that origin lies in acute ang region.drop perpendiculars M1,M2 from origin to these two lines.now since ang between lines is acute,angle M1OM2 is obtuse.
that implies, vector OM1 . vector OM2<o (dot product)
therefore, by writing in vectorial form we get the result as nc(al+bm)<0
sorry that i didnt give u the complete steps thats because its somewhat big and also has difficult notations which i am not able to type here.