Question

if the angles of a quadrilateral are of the ratio 3:5:9:13. find the largest angle​

Answer 1

Step-by-step explanation:

let the four angles of quadrilateral be

3x,5x,9x and 13x

Now,

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

30x=360

x=360÷30

x=12

1st angle=3×12

=36°

2nd angle=5×12

=60°

3rd angle=9×12

=108°

4th angle=13×12

=156°

therefore largest angle is 156°

Answer 2

Answer:

the answer will be 156*

Step-by-step explanation:

Let the angles be+x

so.

first angle=3x

second angle=5x

third angle=9x

fourth angle=13x

As we know,

the sum of the angles of a quadrilateral is always 360*

Therefore,

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

30x=360*

x=360/30

x=12*

So,

first angle=3x=3*12=36*

second angle=5x=5*12=60*

third angle=9x=9*12=108*

fourth angle=13x=13*12=156*

Therefore,

The largest angle is 156*

hope it helps..................