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 = [tex]2x[/tex]
Angle 2 = [tex]3x[/tex]
Angle 3 = [tex]4x[/tex]
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;
[tex]Angle \ 1+Angle\ 2+Angle \ 3 =180[/tex]
Substituting the values we get;
[tex]2x+3x+4x=180\\\\9x=180[/tex]
Dividing both side by 9 we get;
[tex]\frac{9x}{9}=\frac{180}{9}\\\\x=20[/tex]
Angle 1 = [tex]2x=2\times20=40\°[/tex].
Angle 2 = [tex]3x=3\times20=60\°[/tex]
Angle 3 = [tex]4x=4\times20=80\°[/tex]
Hence Angles of triangle are 40°,60° and 80°.
