In this paper, an angular fuzzy set model is introduced. The model uses an angle to determine a line that represents a linguistic value. Therefore, the membership value is a function of the angle a. This angular fuzzy set model can be applied to fuzzy logic modusponensand modus tollensdeduction techniques. In relation to these techniques, we employ fuzzy logic operations, such as the truth functional modification and inverse truth functional modification. A relatively simple calculation procedure is required to perform these operations. The conventional models that are represented graphically could pose difficulties during the interpretation of the graphs. The angular models, on the other hand, depend only on the angle. They are solved numerically, and therefore are easier to interpret. Illustrations using this model and comparison with conventional models are presented in this paper.