Question

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

Answer 1

Answer:

36 ,60,108,156

Step-by-step explanation:

let x be the common multipiler

therefore the angles become

3x 5x 9x and 13x

since

the sum of interior angles of a quardilateral is 360

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

30x=360

x=12

therefore the angles are

3x=3*12

=36

5x=5*15

=60

9x=9*12

=108

13x=13*12

=156

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Answer 2

Ratio of the angles of quadrilateral = 3:5:9:13

So, let the angles be 3x, 5x, 9x, 13x

Sum of all the angles of quadrilateral = 360°

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

=> 30x = 360

=> x = 360/30

=> x = 12°

Therefore, 3x = 3*12

= 36°

5x = 5*12

= 60°

9x = 9*12

= 108°

13x = 13*12

= 156°

So the angles are 36° , 60° , 108° , 156°

Hope it helps you...

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