Question

If angles of a triangle are 2 is to 3 is to 4 is to .find the value of each angle​

Answer 1

Angles of triangle are 40°,60° and 80°.

Explanation:

Given:

if angles of a triangle are 2 is to 3 is to 4.

Let the common factor between the angles be 'x'.

So we can say that;

Angle 1 =
`2x`

Angle 2 =
`3x`

Angle 3 =
`4x`

We need to find the value of each angle.

Solution:

Now we know that;

"Sum of all angles of triangle is 180°."

framing in equation form we get;

`Angle \ 1+Angle\ 2+Angle \ 3 =180`

Substituting the values we get;

`2x+3x+4x=180\\\\9x=180`

Dividing both side by 9 we get;

`(9x)/(9)=(180)/(9)\\\\x=20`

Angle 1 =
`2x=2*20=40\°`.

Angle 2 =
`3x=3*20=60\°`

Angle 3 =
`4x=4*20=80\°`

Hence Angles of triangle are 40°,60° and 80°.