Question

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

Answer 1

Answer:

the angles are 36 , 60 , 108 , 360

Step-by-step explanation:

The angles of a quadrilateral are in the 3:5:9:13

let it be 3x , 5x , 9x , 13x

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

30x=360

x=12

so,3x=3*12=36

5x=5*12=60

9x=9*12=108

13x=13*12=156

36+60+108+156=360

hope this answer may help you.

Answer 2

$\sf{\huge{\underline{\purple{Given :-}}}}$

• The angle of a quadrilateral are in the ratio 3 : 5 : 9 : 13.

$\sf{\huge{\underline{\pink{To\:Find :-}}}}$

• The angles of the quadrilateral.

$\sf{\huge{\underline{\green{Answer :-}}}}$

Let the angle be x ,

So , 3x,5x,9x,13x

We, know the sum of all angles of a quadrilateral is 360°.

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

➝ 17x + 13x = 360

➝ 30x = 360

➝ x = $\cancel{\dfrac{360}{30}}$

➝ x = 12

3x = 3 × 12 = 36°

5x = 5 × 12 = 60°

9x = 9 × 12 = 108°

13x = 13 × 12 = 156°

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