Question

please help me tomorrow is my examination
1. The angles of quadrilateral are in the ratio 3:5:9:13. find all the angels of the quadrilateral. ​

Answer 1

Answer:

let angles be x

3x+5x+9x+13x =360

30x=360

x=12 degree

3x=36

5x=60

9x=108

13x=156

total sum =360

Answer 2

Answer:

The four angles of a quadrilateral are 36°, 60°, 108° and 156°.

Step-by-step explanation:

The sum of all angles of a quadrilateral is 360°.

The four angles of a quadrilateral are in ratio, 3:5:9:13.

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

Compute the value of x as follows:

$3x+5x+9x+13x=360^{o}\\30x=360^{o}\\x=12^{o}$

The four angles are:

$3x=3\times12 = 36^{o}\\5x=5\times12=60^{o}\\9x=9\times12=108^{o}\\13x=13\times12=156^{o}$

Thus, the four angles of a quadrilateral are 36°, 60°, 108° and 156°.