Question

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

Answer 1

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

So, we know that sum of angles of a quadrilateral is 360°.

$\therefore$ 3x + 5x + 9x + 13x = 360°

=> 30x = 360°

=> x = 360/30

=> x = 12

Therefore, the angles are ..

3x = 3 × 12 = 36°

5x = 5 × 12 = 60°

9x = 9 × 12 = 108°

13x = 13 × 12 = 156°


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Answer 2

SUM OF ANGLES IN A QUADRILATERAL=360

LET THE NUMBERS:
3x+5x+9x+13x=360
30x=360
x=360/30
x=12

ANGLES ARE--

12×3=36
5×12=60
9×12=108
13×12=156

thank u!!