Question

The angles of a triangle are in the ratio 2:3:4, find the measure of each angle in a triangle.

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Answer 1

Originally Answered: If the angles of a triangle are in the ratio 2:3:4, what are the angles?

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°

Answer 2

❥︎Answer࿐

2 :3 :4 then we can divide the Total Degrees of the Triangle i.e 180 degrees in that order as below : 2+3+4 = 9 Parts of 180 is … 180/9 = 20 degrees.

❥︎itznakhrebaaz❤