Question

the angels of quadrilateral are in the ratio 3:4:9:13. find all the angles of the quadrilateral ​

Answer 1

Answer:

3x, 4x, 9x and 13x

Step-by-step explanation:

3x+4x+9x+13x=360

=>29x=360

=>x=360/29

so. the angles are:

3x,4x,9xand 13x

3x:360/29 ×3

and so on

Answer 2

Step-by-step explanation:

Let the angles in the ratio 3: 5: 9: 13 be a, b, c and d

Let a= 3x b= 5x c=9x d=13x

We know that

Sum of the angles of quadrilateral is 360

a+b+c+d=360 degrees

30x=360 degrees

x= 360 degrees /30

x= 12 degrees

Hence the angles are

a= 3x = 3x12 degrees = 36 degrees

b= 5x = 5x12 degrees = 60 degrees

c= 9x = 9x12 degrees = 108 degrees

d= 13x = 13x12 degrees = 150 degrees