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Answer 1

Step-by-step explanation:

Given :-

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

To find :-

Find all the angles of the quadrilateral ?

Solution :-

Given that

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

Let they be 3X° , 5X° , 9X° and 13X°

We know that

The sum of all the angles in a quadrilateral is 360°

=> 3X° + 5X° + 9X° + 13X° = 360°

=> (3+5+9+13)X° = 360°

=> 30X° = 360°

=> X° = 360°/30

=> X° = 12°

If X= 12° then 3X° = 3×12° = 36°

5X° = 5×12° = 60°

9X° = 9×12° = 108°

13X° = 13×12° = 156°

Therefore the angles are 36°, 60°, 108° , 156°

Answer:-

The all angles in a quadrilateral are 36°, 60°, 108° , 156°

Used formulae:-

• The sum of all the angles in a quadrilateral is 360°

Answer 2

$\large\color{pink}{Given:}$

$\large\pink{➡}$ The ratio of the angles of a quadrilateral -- 3 : 5 : 9 : 13

Now,

the angles are 3x° , 5x , 9x, 13x [ when x is there common factor ]

According to the question,

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

or, 30x = 360

or, x = 360 ÷ 30

or, x = 12

So, The angles are (3× x), (5×x), (9×x),(13×x )

= ( 3 × 12 ) , (5×12), (9×12), (13×12)

= 36 ° , 60° , 108° , 156°

Hope it will help you friend..