Question

If angles of a triangle are in the ratio of 2 : 3 : 4. Find the measure of each angle

Answer 1

Answer:

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°

Step-by-step explanation:

pls follow me

Answer 2

Step-by-step explanation:

let the angles be 2x,3x and 4x

then,

sum of 3 angles of triangle is 180

so,

2x+3x+4x= 180

9x=180

X= 20

1 St angle = 2x = 40

2 nd angle =3x= 60

3 Rd angle = 4 X = 80