Math, asked by Anonymous, 19 days ago

If angles of a triangle are in ratio 2 : 3 : 4. Find the value of each angle.​

Answers

Answered by dayanidhisharma19
1

Answer:

40°, 60°, 80°

Step-by-step explanation:

let common ratio be x

∴  Angle are 2x, 3x and 4x

As we know that sum of the angles of a triangle equals 180°

so, 2x+3x4x=180°

=> 9x=180°

=> x =20°

 

∴  Angle are 40°, 60°, 80°

Answered by niteshrajputs995
1
  • As per the data given in the question, we have to find the value of the expression.

           Given data:- 2:3:4.

           To find:- Value of each angle.

           Solution:-

  • We know that Triangle has three sides three vertices and three angles.
  • The sum of all angles of a triangle is 180°.
  • The sum of the length of two sides of a triangle is always greater than the length of the third side.

     Therefore.

      Ratio of angle=2:3:4.

      Sum of parts =2+3+4=9

      So that,

     First angle =\frac{2}{9}\times180^{\circ}=40^{\circ}

    Second angle =\frac{3}{9}\times180^{\circ}=60^{\circ}

    Third angle =\frac{4}{9}\times180^{\circ}=80^{\circ}

    Hence we will get the value of each angle is 40^{\circ}, 60^{\circ}, 80^{\circ}.

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