Question

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

Answer 1

ANSWER:-

we know that,

Sum of angles of quadilateal=360°

Now,we take angles as 3x,5x,9x,13x

So,3x+5x+9x+13x=360°

30x=360°

x=360/30=12

Now, angles are

3×12=36°

5×12=60°

9×12=108°

13×12=156°

HOPE IT HELPS YOU

Answer 2

Given: The angles in a quadrilateral are in the ratio 3:5:9:13.

To find: The measure of the angles.

Answer:

We know that all the angles in a quadrilateral add upto 360°.

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

So 3x + 5x + 9x + 13x = 360°

30x = 360°

x = 360/30

x = 12°

So the angles are 3x = 3*12 = 36°, 5x = 5*12 = 60°, 9x = 9*12 = 108°, 13x = 13*12 = 156°.