Question

1. The angles of quadrilateral are in the ratio 3: 5:9:13. Find all the angles of
quadrilateral.
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Answer 1

Answer:

Step-by-step explanation:

let the ratio = 3:5:9:13 be a:b:c:d

a = 3x

b=5x

c=9x

d=13x

we know that sum of angles of quadrilateral = 260

3x+5x+9x+13x=260

30x=260

x=260/30

Answer 2

Answer:

156°

Step-by-step explanation:

As you know, angle sum of a quadrilateral=360°

So, 3x + 5x + 9x + 13x = 360°

Or, 30x = 360°

Or, x = 12°

Hence,

3x = ( 3×12 ) = 36°

5x = ( 5×12 ) = 60°

9x = ( 9×12 ) = 108°

13x = ( 13×12 ) = 156°