Question

if angle of triangle are in the ratio 2 : 3 : 4 find the value of each angle

Answer 1

Answer:

The angles of triangle are  40, 60 and 80.

Step-by-step explanation:

It is given that the angle of triangle are in the ratio 2 : 3 : 4. Let the angles are 2x, 3x and 4x.

According to the angle sum property, the sum of interior angles of a triangle is 180 degree.

$2x+3x+4x=180$

$9x=180$

$x=20$

The value of x is 20.

$2x=2(20)=40$

$3x=3(20)=60$

$4x=4(20)=80$

Therefore the angles of triangle are  40, 60 and 80.

Answer 2

Answer:

Step-by-step explanation:

Let common ratio be 2x,3x and 4x

→ let common ratio be x

∴  Angle are 2x, 3x and 4x

∴ 2x+3x4x=180 degree  

 ∴ 9x=180 degree  

 ∴ x=  180 degree / 9 =20 degree  

 ∴  Angle are 40 degree   , 60 degree    , 80 degree

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