Let the angles of triangle be $$x, frac{2x}{3}$$ and $$3x$$ Multiplying by 3, => Angles = $$3x,2x,9x$$ Sum of angles = $$180^circ$$ => $$3x+2x+9x=180^circ$$ => $$14x=180^circ$$ => $$x=frac{180}{14}=frac{90}{7}$$ $$ herefore$$ Smallest angle = $$2x$$ = $$2 imes frac{90}{7}=frac{180}{7}$$ = $$25frac{5}{7}^circ$$ => Ans - (A)