Question

the angle of quadrilateral are in the ratio 3 5 9 13 find the all the angle of quadrilateral​

Answer 1

ratio of angles in a quadrilateral = 3:5:9:13

sum of all angles in a quadrilateral = 360°

so, 3x+5x+9x+13x = 360

i.e. 30x = 360°

x = 360/30

x= 12°

so,

first angle = 3x i.e. 3×12= 36°

second angle = 5x i.e. 5×12 = 60°

third angle = 9x i.e. 9×12 = 108°

fourth angle = 13x i.e 13×12 = 156°

thank you

i hope the answer was helpful

Answer 2

Given :-

The ratio of the angles of a quadrilateral =3 : 5 : 9 : 13

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To find :-

All the angles of the quadrilateral = ?

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Solution :-

Let the angles of quadrilateral in the ratio be :-

A = 3x

B = 5x

C = 9x

D = 13x

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The sum of the angles af the quadrilateral = 360°

So,

A + B + C + D = 360°

3x + 5x + 9x + 13x = 360°

30x = 360°

$x = \frac{360°}{30}$

x = 12°

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The value of x = 12°

A = 3x = 3 × 12° = 36°

B = 5x = 5 × 12° = 60°

C = 6x = 9 × 12° = 108°

D = 13x = 13 × 12° = 156°

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