Sum of all 4 angles of a quadrilateral = 360^\circ (5x-30) + (3x + 61) + (60-x) + (4x+ 60) = 360^\circ 11x + 151 = 360^\circ 11x = 360 - 151 = 209 x = 209/11 = 19^\circ Each angles is : 5x - 30 = 65^\circ 4x+ 60 = 136^\circ 60 - x =41^\circ 3x + 61 = 118^\circ Smallest of these angles is 41^\circ