Question

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

Answer 1

Step-by-step explanation:

Let 1st angle of triangle = 4x

2nd angle of triangle = 3x

3rd angle of triangle = 2x

Now

4x + 3x + 2x = 180°. [Angle sum property]]

9x = 180°

x = 20°

So Ist angle = 4x = 4(20) = 80°

2nd angle = 3x = 3(20) = 60°

3rd angle = 2x = 2(20) = 40°

Answer 2

GIVEN:

Ratio of angles of triangle = 4:3:2

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TO FIND:

The angles of the triangle.

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SOLUTION:

$\bigstar {\sf {\blue {Let\ the\ first\ angle\ be\ 4x.}}}$

$\bigstar {\sf {\orange {Let\ the\ second\ angle\ be\ 3x.}}}$

$\bigstar {\sf {\green {Let\ the\ third\ angle\ be\ 2x.}}}$

Now, as we know that sum of all the angles of a triangle is 180°.

So, the equation formed is:

4x + 3x + 2x = 180°

9x = 180°

$\sf \: x = \dfrac{180}{9}$

$\boxed {\bf {\pink {x=20°}}}$

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VERIFICATION:

On substituting the value of x as 20° in the equation,

4x + 3x + 2x = 180°

4×20° + 3×20° + 2×20° = 180°

80°+60°+40° = 180°

180° = 180°

LHS = RHS

Hence Verified!

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THE ANGLES ARE:

• The first angle = 4x

= 4×20°

= 80°

• The second angle = 3x

= 3×20°

= 60°

• The third angle = 2x

= 2×20°

= 40°

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