Question

The angles of a triangle are in the ratio 1 : 2 : 3. Find the size of each angle of the triangle.

Answer 1

heya mate here is your answer

let the sides be x , 2x , 3x
so, x+2x+3x=180°
6x=180°
x=180/6
x=30°
2x=60°
3x=90°

Answer 2

Hello!

The angles of a triangle are in the ratio 1 : 2 : 3. Find the size of each angle of the triangle.

Solution:

Here, the angles of the triangle are in the ratio 1 : 2 : 3.

Let the angles of the triangle be x° , 2x° & 3x°.

Now,

x° + 2x° + 3x° = 180° [°•° Sum Of triangle is 180°]

⇒ 6x° = 180°

⇒ x° = 180°/x

⇒ x° = 30°

Hence,

The 1st angle of the triangle = x° = 30°

The 2nd angle of the triangle = 2x° = 2 × 30° = 60°

The 3rd angle of the triangle = 3x° = 3 × 30° = 90°

Hope It Helps!