Question

If angles of a triangle in the ratio 1:2:3 , find the value of each angle​

Answer 1

Answer:

let the angles of the triangle be 1x , 2x and 3x

we know that,the sum of all the interior angle of a triangle= 180°

therefore, 1x+2x+3x = 180°

6x=180°

x = 30°

therefore value of angles will be 1x=30 ,2x=60 ,3x=90.

Answer 2

The angles are 30°, 60° and 90°

Step-by-step explanation:

Let the unknown angle be 'x'

So, The ratio would be 1x : 2x : 3x.

We know that, all the interior angles of a triangle is equal to 180°

Solving :

→ 1x + 2x + 3x = 180°

→ 6x = 180°

→ x = 180 / 6

→ x = 30°

Substituting 'x' value :

→ 1x = 1 × 30 = 30°

→ 2x = 2 × 30 = 60°

→ 3x = 3 × 30 = 90°

We can verify this by adding all these values,

i. e. 30° + 60° + 90° = 180°

180° = 180°

Hence, verified.