Question

EXERCISE 7.1
The angles of quadrilateral are in the ratio 3:5:9:13. Find all the angles of the
quadrilateral.​

Answer 1

take the sides as 3x,5x,9x,13x

we know the total sum of all four angle is 360(angle sum)

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

30x=360

x=360/30=36/3=12

so first angle 3x=3*12=36

second angle 5x=5*12=60

third angle 9x=9*12=108

and fourth angle=13x=13*12=156

Answer 2

Answer:

Step-by-step explanation:

Let the common multiple be X

The sum of the angles of quadrilateral is 360

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

30x=360

x=360/30

x= 12

3x = 3×12=36

5x = 5×12=60

9x= 9×12= 108

13x=13×12= 156