Question

the angle of a triangle are in the ratio 3:5:7: find the measure of these angles​

Answer 1

Answer:

Angles are 36°, 60° and 84°

Step-by-step explanation:

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

By angle sum property:

3x + 5x + 7x= 180°

15x = 180°

x = 180/15

x = 12

Thus, First angle = 3x = 3×12 = 36°

Second angle = 5x = 5×12 = 60°

Third angle = 7x = 7×12 = 84°

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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°