Question

Fond the angles of a triangle which are in ratio 2:3:4​

Answer 1

Answer:

Let the common ration be "x"

∴ Angles = 2x, 3x & 4x

Sum of all the angles of a triangle = 180°

2x + 3x + 4x = 180

9x = 180

x = 180/9

x = 20

∴ Angle 1 = 40°

  Angle 2 = 60°

  Angle 3 = 80°

Answer 2

Answer:

Ratio =2:3:4

Angles Measure = 180°

Sum = 2+3+4 => 9

1st Angle = 2/9 × 180°

=2 × 20 °

=40°

2nd Angle = 3/9 × 180°

=3 × 20°

= 60°

3rd Angle = 4/9× 180°

=4×20°

=80 °

Total Angles :

1st Angle = 40°

2nd Angle = 60°

3rd Angle = 80°

Or

Another method

Let the Angles be "X".

Ratio = 2:3:4

=2x+3x+4x

= 9x

=> 9x/180°

x=> 180°/9

x=> 20°

2x= 2×20° => 40°

3x= 3×20° => 60°

4x= 4×20° => 80°

Step-by-step explanation:

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