Question

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

Answer 1

Answer:

The angles of a quadrolateral are in a ratio 3x:5x:9x:13x

So now we need to find their common miltiple.

As the sum of the measure of all the angles of a quadrilateral is 360degree.

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

30x=360

x=360/30

x=36/3

×=12

Now find the values of other angles by putting the value of X in the given ratio.

ie i am showing just one

3x = 3×12= 36 degree.

Answer 2

angle of quadrilateral is=

3x,5x,9xand 13x

sum of all angles= 350

A/q,

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

30x=360

x=360÷30

x=12

Hence,

angle of quadrilateral:-

first angle=3×12=36°

second angle=5×12=60°

third angle=9×12=108°

fourth angle=13×12=156°