180 rule involves angles only. P/T involves sides only. They do not mix sides and angles in formulas. The equation for 180 rule is <A + <B + <C = 180. The equation for P/T is A^2 + B^2 = C^2. As you can clearly see, they both involve addition.
Like I said in the previous paragraph, the equation for 180 rule is <A + <B + <C = 180. The equation(s) for Trig are Sin= y/z, Cos= x/z, and Tan= y/x. Trig and 180 rule both require at-least two angles to solve.
Trig and P/T both require right