Question

An exterior angle of a triangle is 120 degree and its interior opposite are in the ratio 1 : 2 find the measure of each angle of the triangle

Answer 1

Answer:

we have to just follow a single rule

let the angles be x and 2x

then, x +2x = 120

3x = 120

x = 120/3 = 40°

x = 40

2x = 2* 40 = 80°

Answer 2

Step-by-step explanation:

Let the interior opposite angles be "x" and "2x" respectively.

Now, x + 2x = 120° ( If one side of triangle is produced then the exterior angle so formed is equal to the sum of interior opposite angles)

=> 3x = 120°

Therefore, x = 120°/3

= 40°

1st angle = x

= 40°

2nd angle = 2x

= 2 × 40°

= 80°

Let the third angle of the triangle be "y".

40° + 80° + y = 180° ( A.S.P of a triangle)

=> 120° + y = 180°

Therefore, y = 180° - 120°

= 60°

3rd angle = y

= 60°

Hope it helps :)