Question

if the angles of a triangle are in the ratio 2:3:4 determine the angles

Answer 1

The angles of triangle is 40 degree, 60 degree and 80 degree.

Step-by-step explanation:

As we know that sum of all angles of triangle is equal to 180 degree.

Let assume angles of triangle be 2x : 3x : 4x.

So, Sum of all angles of triangle = 180 degree

2x + 3x +4x = 180 degree

9x = 180 degree

x = 180 degree upon 9

x = 20 degree

So, I angle = 2x = 2*20 degree = 40 degree

II angle = 3x = 3*20 degree = 60 degree

III angle = 4x = 4*20 degree = 80 degree

Hence, 2x = 40 degree, 3x = 60 degree and 4x = 80 degree.

Answer 2

Answer:

The angles of a triangle are 40°, 60°,80°

Step-by-step explanation:

Let,

The angles of a triangle are :

• 2x
• 3x
• 4x

We know,

Sum of angles in triangle = 180°

So,

⇒ 2x + 3x + 4x = 180

⇒ 9x = 180

⇒ x = 180 / 9

⇒ x = 20

____________________________

★ Value of 2x :

⇒ 2 (20)

⇒ 2 × 20

⇒ 40

____________________________

★ Value of 3x :

⇒ 3 (20)

⇒ 3 × 20

⇒ 60

____________________________

★ Value of 4x :

⇒ 4 (20)

⇒ 4 × 20

⇒ 80

Therefore,

The angles of a triangle are 40°, 60°,80°