Question

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

Answer 1

Answer:

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

Step-by-step 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;

$\frac{9x}{9}=\frac{180}{9}\\\\x=20$

Angle 1 = $2x=2\times20=40\°$.

Angle 2 = $3x=3\times20=60\°$

Angle 3 = $4x=4\times20=80\°$

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