Question

The angles of a quadrilateral are in the ratio 3:5:9:13. find the angles of the quadrilateral?

Answer 1

Answer:

Let angles in the ratio 3:5:9:13 be a, b, c & d

Let angles in the ratio 3:5:9:13 be a, b, c & dLet a= 3x, b=5x, c=9x, d=13x

where x is any number.

Step-by-step explanation:

Sum of angles of a quadrilateral is 360°

a+b+c+d = 360°(angle sum property of quadrilateral )

3x + 5x + 9x + 13x = 360°

30x = 360°

x = 360°/30

x = 12°

Answer 2

Answer:

Sᴜᴍ ᴏғ 4 ᴀɴɢʟᴇs ᴏғ ᴀ ǫᴜᴀᴅʀɪʟᴀᴛᴇʀᴀʟ ɪs 360° .

$3x + 5x + 9x + 13x = 360 \\ 30x = 36 \\ x = \frac{360}{30} \\ x = 12$

Nᴏᴡ ᴛʜᴇ ᴀɴɢʟᴇs

3x = 3×12° = 36°

5x = 5×12° = 60°

9x = 9×12° = 108°

13x = 13×12° = 156°