Question

Q1. The angles of quadrilateral are in the ratio 3:5:9:13. Find all the angle of the quadrilateral.​

Answer 1

Answer:

let no. be x

3x + 5x + 9x + 13x = 360°

30x = 360°

x = 360°/30

x = 12°

3x = 3×12° = 36°

5x = 5×12° = 60°

9x = 9×12° = 108°

13x = 13×12° = 156°

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Answer 2

Answer:

The angles of quadrilateral are 36°, 60°,108° and 156°

Step-by-step explanation:

Apply angle sum property of quadrilateral

3x+5x+9x+13x=360°

⇒30x=360°

⇒x=360°/30

⇒x=12°

Calculating the values of angles by substituting the value of x

First angle

3x=3×12°

=36°

Second angle

5x

=5×12°

=60°

Third angle

9x

=9×12°

=108°

Forth angle

13x

=13×12°

=156°