Question

if the angles of a triangle are in the ratio 1:2:3, determine the angle.​

Answer 1

given ratio 1:2:3

so x, 2x, 3x

sum of all angles in a triangle=180

so,

x+2x+3x=180

6x=180

x=30

From above information

2x=2(30)=60

3x=3(30)

therefore the angles=30,60,90

Answer 2

ANSWER:

Given:

• Ratio of all angles in a triangle = 1 : 2 : 3

To Find:

• All the angles of triangle

Solution:

We are given that,

⇒ Ratio of all angles in a triangle = 1 : 2 : 3

Let us assume that the angles are x, 2x and 3x respectively.

We know that,

⇒ Sum of all angles of a triangle = 180°

(Angle Sum Property of a Triangle)

So,

⇒ Sum of all angles of a triangle = 180°

⇒ x + 2x + 3x = 180°

Adding the terms,

⇒ 6x = 180°

Transposing 6 to RHS,

⇒ x = (180/6)°

So,

⇒ x = 30°

So the angles are:

• x = 30°
• 2x = 2 × 30 = 60°
• 3x = 3 × 30° = 90°

Therefore, the angles if the triangle are 30°, 60° and 90° respectively.