Math, asked by kailashkashyap121, 3 months ago

If angles of a triangle are in ration of 3:2:4 then values of angle are ​

Answers

Answered by Champion55
1

Given :

⬤ Angles of Triangle are in the Ratio 3:2:4 .

To Find :

⬤ Value of angles .

Solution :

Let :

  • The three angles be 3x , 2x and 4x .

As we know that , Sum of all angles of triangle is 180 degree . Hence ,

\sf{3x+2x+4x=180^{\circ}}

9x = 180°

x = 180/9

x = 20

Therefore , The Value of x is 20 .

Hence ,

First Angle = 3x

= 3(20)

= 60

Second Angle = 2x

= 2(20)

= 40

Third Angle = 4x

= 4(20)

= 80

Therefore , The three angles of a triangle are 60° , 40° and 80° .

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