Question

The angles of a quadrilateral are in the ratio of 3:9:11:13.Find the angles of the quadrilateral? ​

Answer 1

Step-by-step explanation:

let,

x be the common multiple of all the angles of quadrilateral

3x+9x+11x+13x=360°...............(sum of all angles of

quadrilateral is 360°)

36x=360

x=10

3x=3*10=30°

9x=9*10=90°

11x=11*10=110°

13x=13*10=130°

Answer 2

Answer:

The sum of angles in a quadrilateral=360°

The ratio of angles=3:9:11:13

let the angles be 3x°, 9x°, 11x°, 13x°

→3x°+9x°+11x°+13x°=360°

36x°=360°

x°=360/36

x°=10°

→3x°=3(10)=30°

→9x°=9(10)=90°

→11x°=11(10)=110°

→13x°=13(10)=130°

So the angles in quadrilateral are 30°,90°,110°,130°