Question

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

Answer 1

Answer:

suppose angles of quadrilateral are x

measure of all angles of quadrilateral is 360°

therefore 3x+5x+9x+13x =360°

30x = 360°

therefore x= 360÷30 =12

therefore first angle = 12×3=36

second angle =12×5=60

third angle =12×9=108

fourth angle = 12×13 =156

Answer 2

Answer:

Let all angles of quadrilateral 'x'

So,

Step-by-step explanation:

3x:5x:9x:13x

Sum of all angles of quadrilateral is 360 degree

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

30x = 360

x = 360/30

x =12

So,

3x

3 X 12 =36

5x

5 X12=60

9x

9X12=108

13x

13X12=156

To prove

So, sum of all angles of quadrilateral is 360 degree

So,

36+60+108+156=360

360=360