Question

the ratio of angel in a triangle is 3:6:1 the largest angel of a triangle is options a) 90 b) 108 c) 120 d) 36

Answer 1

Option b is the correct one.
108

Answer 2

Given that the ratio of the angles of a triangle

= 3 : 6 : 1

let the constant ratio be ' x '

so now let the angles are 3x, 6x , x

since , they have constant ratio then definitely there will be a common multiple of 3 ,6 and 1.

here 'x ' will be that common multiple of 3,6 and 1.

since we know that the sum of all the angles of triangle = 180°

3 x + 6 x + x = 180°

10 x = 180

x = 18

therefore ,

largest angle = 6x = 6 × 18 = 108°

thus , option (b) is the correct answer :