## the angles of a triangle are in the ratio 2:3:4 . Find the difference between larger angle to smaller ?

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## Answers ( )

Answer:Step-by-step explanation:## Let’s assume a triangle ABC with angles, <A, <B and <C.

## Given, <A : <B : <C is equal to 2:3:4, let’s assume the values of angles as,

## <A = 2x

## <B = 3x

## <C = 4x,

## x is a whole number. You can see that we have taken the values of angles such that they are still in the ratio 2:3:4.

## Now, we know that the sum of all the angles of a triangle is 180°.

## So, in triangle ABC

## <A + <B + <C = 180°

## Putting values of angles,

## 2x + 3x + 4x = 180°

## 9x = 180°

## x = 180°/9

## x = 20°

## So, angles are as follows,

## <A = 2(x) = 2(20°) = 40°

## <B = 3(x) = 3(20°) = 60°

## <C = 4(x) = 4(20°) = 80°Let’s assume a triangle ABC with angles, <A, <B and <C.

## Given, <A : <B : <C is equal to 2:3:4, let’s assume the values of angles as,

## <A = 2x

## <B = 3x

## <C = 4x,

## x is a whole number. You can see that we have taken the values of angles such that they are still in the ratio 2:3:4.

## Now, we know that the sum of all the angles of a triangle is 180°.

## So, in triangle ABC

## <A + <B + <C = 180°

## Putting values of angles,

## 2x + 3x + 4x = 180°

## 9x = 180°

## x = 180°/9

## x = 20°

## So, angles are as follows,

## <A = 2(x) = 2(20°) = 40°

## <B = 3(x) = 3(20°) = 60°

## <C = 4(x) = 4(20°) = 80°

## then the diffrence is 40°

Answer:40

Step-by-step explanation:Let common multiple be x

Angles are 2x , 3x and 4x

2x + 3x + 4x = 180…..Angle sum property

9x = 180

x = 20

Largest angle = 4x = 80

Smallest angle = 2x = 40

Difference = 80 – 40 = 40