Question

The angles of a triangle are in the ratio 7:3:5 find the measuresof the three angles of the triangle

Answer 1

let the angle of triangle be x

1angle -7x

2angle -3x

3angle -5x

and we know all angle of triangle measure 180°

then

7x+3x+5x=180°

15x=180

x=180/15

12

now 1 angle = 7× 12=84

2angle =3×12=36

3angle = 5×12=60

Answer 2

$\huge{\underline{\underline{\red{\mathfrak{AnSwEr :}}}}}$

${\underline{\sf{\blue{Given :}}}}$

Angles of Triangle are in ratio 3:5:7

$\rule{200}{1}$

${\underline{\sf{\green{Solution :}}}}$

Let the angles be 3x, 5x, 7x

So,

$\large \star {\boxed{\sf{180^{\circ} \: = \: Sum \: of \: angles \: of \: Triangle }}}$

Due to angle sum property of triangle

$\implies {\sf{180 \: = \: 3x \: + \: 5x \: + \: 7x}}$

$\implies {\sf{180 \: = \: 8x \: + \: 7x}}$

$\implies {\sf{180 \: = \: 15x}}$

$\implies {\sf{x \: = \: \dfrac{\cancel{180}}{\cancel{15}}}}$

$\implies {\sf{x \: = \: 12}}$

$\rule{200}{1}$

Angles are :

• 3x = 3(12) = 36°

• 5x = 5(12) = 60°

• 7x = 7(12) = 84°