Math, asked by deoprasadkushwaha462, 1 year ago

The angels of a triangle are in the ratio 2:3:4 . Find the angle of the triangle​

Answers

Answered by Sauron
23

Answer:

The angles are -

  • 40°
  • 60°
  • 80°

Step-by-step explanation:

Given :

Ratio of the angles = 2 : 3 : 4

To find :

The angles

Solution :

Let the angles be -

  • 2x
  • 3x
  • 4x

According to the Angle sum property of triangle, all angles in triangle sum up and make 180°.

\green{\boxed{\green{\boxed{\red{\sf{2x+3x+4x=180}}}}}}

\sf{\implies} \: 2x + 3x + 4x  = 180 \\\sf{\implies} \: 9x = 180 \\ \sf{\implies} \: x =  \frac{180}{9} \\ \sf{\implies} \: x = 20

\rule{300}{1.5}

Value of 2x

\sf{\implies} \: 2(20) \\ \sf{\implies} \: 40

\rule{300}{1.5}

Value of 3x

\sf{\implies} \: 3(20) \\ \sf{\implies} \: 60

\rule{300}{1.5}

Value of 4x

\sf{\implies} \: 4(20) \\ \sf{\implies} \: 80

\therefore The angles are -

  • 40°
  • 60°
  • 80°

Answered by Anonymous
9

Answer :-

Angles of the triangle are 40°, 60° and 80°.

Explanation :-

Ratio of angles of the triangle = 2 : 3 : 4

Let the angles of the triangle be 2x, 3x, 4x

We know that

Sum of the angles of the triangle = 180°

⇒2x + 3x + 4x = 180

Adding like terms

⇒9x = 180

⇒x = 180/9

⇒x = 20

One of the angle = 2x = 2(20) = 40°

Second angle = 3x = 3(20) = 60°

Third angle = 4x = 4(20) = 80°

The angles of the triangle are 40°, 60° and 80°.

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