Question

The angle of a quadrilateral are in the ratio 3:5:9:13 find all the angle of the quadrilateral

Answer 1

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

Now,we know that sum of angles of a quadrilateral=360°

then,3x+5x+9x+13x=360°

=>30x=360°

=>x=12°

now,3x=3×12°=36°

5x=5×12°=60°

9x=9×12°=108°

13x=13×12°=156°

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

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Answer 2

Step-by-step explanation:

HERE IS YOUR ANSWER BUDDY

As you know angle sum of a quadrilateral = 360°

So, 3x + 5x + 9x + 13x = 360°

Or, 30x = 360°

Or, x = 12°

Hence, 3x = 36°, 5x = 60°, 9x = 108° and 13x = 156°