The ratio between angles of triangle are 2:3:4. The angle of the triangle will be :
(a) 30°, 60°, 90°
(b) 20°, 40°, 120°
(c) 40°, 60°, 80°
(d) 30°, 90°, 60°
Answer: (c) 40°, 60°, 80°
Solution:-
The ratio between angles of triangle are 2: 3: 4.
As we know that the sum of angles of a triangle is 180 degree.
Then, 2 x + 3 x + 4 x = 180
9 x = 180
x = 180/9
x = 20
Then, the angle of a triangle will be 2 x = 2 x 20 = 40 degree, 3 x = 3 x 20 = 60 degree and 4 x = 4 x 20 = 80 degree.
Hence, the correct answer is option (c) 40, 60, 80.