Given that ratio of the four angles = 2 : 3 : 4 : 6
Sum of the terms in the ratio = 2 + 3 + 4 + 6 = 15
Sum of the four angles = 360°
∴ 1st angle = 2/15 x 360° = 48°
2nd angle = 3/15 x 360° = 72°
3rd angle = 4/15 x 360° = 96°
4th angle = 6/15 x 360° = 144°