The difference between the largest and the smallest angles of a triangle whose angles are in the ratio 4 : 3 : 8, is :

60°

Here,

Ratio of angles of a triangle are = 4 : 3 : 8

⇒ Let the angles be = 4a, 3a and 8a

⇒ 4a + 3a + 8a = \({180}^\circ\)

⇒ 15a = \({180}^\circ\)

⇒ a = \({12}^\circ\)

⇒ Difference between Largest and smallest angle of triangle = 8a - 3a = 5a

⇒ 5a = 5 x 12 = \({60}^\circ\).