Question

the angle of the quadrilateral are in the ratio 3:5:9:15 find all the angles of the quadrilateral​

Answer 1

Answer:

let angles of quadrilateral be x

so 3x:5x:9x:15

as we know sum of all the angles of quadrilatera is 360°

so 3x+5x+9x+15x=360°

32x=360°

therefore x=360/32

so x=45/4

3x= 45/4*3

5x=45/4*5

9x=45/4*9

and15x=45/4*15

Answer 2

Step-by-step explanation:

1. let the ratios be 3x,5x,9x and 15x
2. sum of all interior angles of a quadrilateral =360°
3. 3x+5x+9x+15x=32x
4. 32x=360°
5. x=360÷32
6. x=11.25
7. 3x=3×(11.25)=33.75°
8. 5x=5×(11.25)=56.25°
9. 9x=9×(11.25)=101.25°
10. 15x=15×(11.25)=168.25°

Hence, the angles are 33.75°,56.25°,101.25°,168.25° respectively

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