Question

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

Answer 1

Question :-
find the angles of a triangle which are in the ratio 4:3:2
Answer :-
Let the angles be 4x,3x and 2x.

(Sum of all angles in a triangle is 180 degree)
4x+3x+2x = 180
9x = 180
x = 180/9
x = 20

Substituting the value of x, the angles are :
4x = 4*20 = 80
3x = 3*20 = 60
2x = 2*20 = 40

Answer 2

${\large{\bf{\red{\clubs{\underline{Given :}}}}}}$

Angles of a triangle which are in the ratio 4:3:2.

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${\large{\bf{\blue{\clubs{\underline{To Find :}}}}}}$

Find the angles of the triangle.

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${\large{\bf{\orange{\clubs{\underline{Solution :}}}}}}$

Remember that :

${\sf{\purple{Sum \: of \: all \: sides \: of \: triangle = 180°}}}$

Let the ratios be x than:

${\sf{\purple{1st \: angle = 4x }}}$

${\sf{\purple{2nd \: angle = 3x}}}$

${\sf{\purple{3rd \: angle = 2x}}}$

Than,

${\sf{\green{4x + 3x + 2x = 180°}}}$

${\sf{\green{9x = 180°}}}$

${\sf{\green{x = {\cancel\frac{180}{9} }}}}$

${\sf{\green{x =20 }}}$

So,

${\bf{\red{1st \: angle = 4x = 4 \times 20 = 80°}}}$

${\bf{\red{2nd \: angle = 3x = 3 \times 20 = 60°}}}$

${\bf{\red{3rd \: angle = 2x = 2 \times 20 = 40°}}}$

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