Question

8.
The angles of a quadrilateral are in 2:3:4:9. Find each angle of the quadrilateral.​

Answer 1

Step-by-step explanation:

let the angle be x

then 2x+3x+ 4x+9x=360

18x =360

x =360\18

x=20

then each angle

2x= 2^20 40

3x=3^20 60

4x=4^20 80

9x=9^20 180

Answer 2

Answer:

40 , 60 , 80 , 180

Step-by-step explanation:

Let angles of quadrilateral be 2x , 3x , 4x , 9x

We know that sum of all angles of a quadrilateral = 360

Since , 2x + 3x + 4x + 9x = 360

18x = 360

X = 360/ 18

X =20

Then angles are 2x =40 , ( 2x = 2 x 20 = 40). Similarly in all cases

4x = 60 ,

4x = 80

,9x =180