Question

ii. The measures of three angles of a triangle are in the ratio 4:2:3. Find the measure of each angle.

Answer 1

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°

MARK AS BRAINLIEST ANSWER AND FOLLOW ME PLEASE DEAR FRIEND I

Answer 2

Answer:

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

sum of all interior angles of triangle is 180

4x+2x+3x=180

9x=180

x=20

hence the angles are 80,40,60 respectively