Question

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

Answer 1

Answer:

let the angles be x

so

3x+5x+9x+13x = 360° (sum of all angles of a quadrilateral = 360)

30x. =. 360°

X. =. 360/30

X= 12

putting value of x

3x = 3*12. = 36°

5x = 5*12. = 60°

9x = 9*12. = 108°

13x. = 13*12. = 156°

Answer 2

Answer:

$\huge\underline\red{x=12°}$

Step-by-step explanation:

Solution :-

As we all know that :-

Sum of all angles of quadrilateral is

=> 360°

So,

Let the unknown angle be

$x$

Therefore_the equation formed will be,

$3x + 5x + 9x + 13x =$

360° ...

=> 30x = 360°

x = 360÷30

=> 12°

3x = 3 × 12 = 36°

5x = 5 × 12 = 60°

9x = 9 × 12 = 108°

13x = 13 × 12 = 156°

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