Question

The angles of a quadrilateral are in the ratio 3:5:9:13. find all the angles​

Answer 1

Answer:

let common no. = x

sum of all sides of quardilateral=360

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

30x= 360

x= 360/30

x= 12

so,

1st angle= 3x= 3×12= 36

2nd angle= 5x = 5×12=60

3rd angle= 9x =9×12= 108

4th angle= 12x= 13×12= 156

verification:

36+60+108+156=360

sum = 360

hence verified....

hope it helps...

Answer 2

Answer:

The answer are 36°,60°,108°,156°

Step-by-step explanation:

As angles are ratio let x be the common multiple so 3x,5x,9x,13x

:3x+5x+9x+13x=360°[sum of all angles of quadrilateral]. --------30x=360° so now the value of x will be 12

now multiple with 3 5 9 and 12 u will get answer....

Hope it helps u

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