Question

The angles of atriangle are in the ratio of 2:5:8. Find the angles​

Answer 1

let the angles be 2x 5x and 8x

so 2x+5x+8x=180

180 is the angle sum property if a triangle

15x=180

x=180/15

x=12

therefore anlgles are

2x= 12*2=24

5x=5*12=60

8x=8*12=96

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Answer 2

Let the angle of the triangle be X

1st angle = 2x

2nd angle = 5x

3rd angle = 8x

So , By angles sum property of triangle

We know that sum of all interior angles of an triangle is 180°

Then,

2x+5x+8x=180°

=> 15x=180°

=> x=12°

Therefore,The 1st angle = 2x = 2(12°) = 24°

2nd angle = 5(12°) = 60°

3rd angle = 8(12°) = 96°

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