A modular truss system includes an upper chord and a lower chord. Each of the upper and lower chords has a pair of terminal ends and each of the upper and lower chords is arcuate between associated ones of the pair of terminal ends. A plurality of branches is removably attached to and extends between the upper and lower chords. Each of the branches has a first end and a second end comprising a saddle that receives one of the upper or lower chords at a fixed angle with respect to the upper and lower chords. The saddles ensure the branches are properly placed on the upper and lower chords.