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°

Anurag Mishra Professor Asked on 3rd February 2016 in Maths.
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1 Answer(s)

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. 

Anurag Mishra Professor Answered on 3rd February 2016.
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