The diagram given simple illustrates that a pentagon contains three \(\Delta\)s. Two angles which are in the ratio 2:3 will have actual values 2xo, 3xo respectively. Thus 2xo + 3xo + 3 x 60 = 3x sum of angles of \(\Delta\)a i.e. 5xo + 180o = 3 x 180o 5xo + 180o = 540o 5xo = 540o - 180o 5xo = 360o xo = \(\frac{360^o}{5}\) = 72o Hence, the smaller of the two angles is 2 x 72o = 144o