Question

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

Answer 1

Answer:

36,60,108,156

Step-by-step explanation:

let all the angles be 3x, 5x,9x,13x.

so the sum of all the angles

=3x+5x+9x+13x=30x

But the sum of all the angles of the quadrilateral is 360 .(property of a quadrilateral)

so,

30x=360

x=360/30=12

so the measure of all the angles

=3x=3×12=36

5x=5×12=60

9x=9×12=108

13x=13×12=156

Answer 2

Answer:

let the common ratio be X

= as we know that all side of quadrilateral is 360 °

= 5x + 3x + 9x + 13x = 360°

= 30x × 360°

= x = 360/30

= x = 12

= the first angle is 3x

= 3x + 12

= x = 12+3= 15

2nd = 12 + 5 =17

3rd = 12 + 9 = 21

= 4 rt angle is 12 + 13 = 25

= the all angle of the quadrilateral is = 15, 17, 21 ,25