Question

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

Answer 1

Answer:

let it be 3x +5x +9x+13 x

the put it as 3x+5x+9x+13x =360angle sum property of quadrilateral

then 30x=360

so x=360÷30=12

and at last 3x =3×12=36

5x=5×12=60

9x=9×12=108

13x=13×12= 156

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

$\text{\large\underline{\purple{Given:}}}$

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

$\text{\large\underline{\red{To find:}}}$

All the angles of quadrilateral = ?

$\text{\large\underline{\green{Solution:}}}$

We are given with the ratios of angles of quadrilateral 3:5:9:13.

Let the actual angles be 3x, 5x, 9x, 13x.

Now, we know in a quadrilateral the sum of all angles is 360° also known as Angle Sum Property of quadrilateral.

In simple words, angle A + angle B + angle C + angle D = 360°

==> 3x + 5x + 9x + 13x = 360°

==> 30x = 360°

==> x = 12

So, the value of x is 12.

Hence, the angles are 3x = 3 × 12 = 36°

5x = 5 × 12 = 60°

9x = 9 × 12 = 108°

13x = 13 × 12 = 156°

Therefore our angles are 36°, 60°, 108°, 156°.

Hope it helped you dear...