Question

plz define this one!


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

Answer 1

Hey, Your answer :---

Let the angles of a quadrilater be :- 3x ,5x, 9x and 13x. ------(1)

We know that, sum of all angles of a quadrilateral is 360.

so,

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

30x. = 360

x = 360/30 = 12.

Now, putting the value of 'x'in (1).

3*12= 36

5*12= 60

9*12= 108

13*12= 156.

Therefore, the angles are :- 36°

60°

108°

156.°

#hopeItHelps

Answer 2

$\huge\sf\underline{Question:}$

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

$\huge\sf\underline{Solution:}$

$<b>$

Let all the angles be :

a = 3x

b = 5x

c = 9x

d = 13x

Sum of the angles of quadrilateral = 360.

So,

a + b + c + d = 360

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

30x = 360

x =360/30

x = 12

Now,

the angles are:

a = 3x = 3*12 = 36

b = 5x = 5* 12 = 60

c = 9x = 9*12 = 108

d = 13x = 13*12 = 156

Hope this helps