Question

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

Answer 1

Answer:

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

30x=360

x=12

substitute the values

3x=36

5x=60

9x=108

13x=154

Answer 2

Step-by-step explanation:

GIVEN:-

the angles of quadrilateral are in the ratio 3:5:9:13.

TO FIND:-

Angles of the quadrilateral.

SOLUTION:-

Let the four angles of the quadrilateral be 3x, 5x, 9x and 13x

= 3x+5x+9x+13x=360∘

[sum of all angles of the quadrilateral is 360∘]30x=360°

30x=360∘

x=12∘

Hence, the angles of the quadrilateral are

3×12∘ =36∘

5×12∘ =60∘

9×12 ∘ =108∘

13×12∘ =156∘