Question

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

Answer 1

Answer:84, 36, 60

Step-by-step explanation:

Answer 2

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

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

Angles of Triangle are in ratio 3:5:7

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

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°