Question

The angles of a triangle are in the ratio 2 : 3 : 4 . find the angles of the triangle .

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Answer 1

`\pink{Answer}`

• The measure of ∆a = 2x
• The measure of ∆b = 3x
• The measure of ∆c = 4x

`\\ \sf\longmapsto2x + 3x + 4x = 180 \\`

`\\ \sf\longmapsto9x = 180 = > x = 20`

`\\ \sf\longmapsto \: a = 2x = 2 * 2 0 = 4 0`

`\\ \sf\longmapsto \: b \: = 3x = 3 * 20 = 60`

`\\ \sf\longmapsto \: c = 4x = 4 * 20 = 80`

hence , angles of the triangle are 40 , 60 and 80

Answer 2

Question:-

The angles of a triangle are in the ratio 2 : 3 : 4 . find the angles of the triangle .

Answer:-

40° , 60° and 80°

Step-by-step explanation:-

We know that sum of all the angles of a triangle adds to 180° .

Let the angles be 2x , 3x and 4x

Now,

=> 2x + 3x + 4x = 180°

=> 9x = 180°

=> x = 180/9

=> x = 20°

(The value of x is 20)

• 2x = 2 × 20 = 40°
• 3x = 3 × 20 = 60°
• 4x = 4 × 20 = 80°