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 angles of a triangle be 7x, 3x and 5x

As we know that : Sum of all three angles is 180°

7x + 3x + 5x = 180

=> 15x = 180

=> x = 12

Thus, Angles are : 7×12 = 84°, 3×12 = 36° and 5×12 = 60°

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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°