Question

le
The angles of quadrilateral are in the ratio 3:5:9:13.find all the angles of the
quadrilateral​

Answer 1

$\Large{\underline{\underline{\bf{GiVen:-}}}}$

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

$\Large{\underline{\underline{\bf{To find :-}}}}$

The measure of the angles.

$\Large{\underline{\underline{\bf{SoLuTioN:-}}}}$

━━━━━━ • ✿ • ━━━━━━

❥ Sum Of Quaderilateral = 360°

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

So,

❥ 3x + 5x + 9x + 13x=360°

❥ 8x + 22x = 360°

❥ 30x = 360°

❥ x = 360/30

❥x = 12

Hence , we put value of x in the following angles :-

❥3x ↠ 3×12 ↠ 36°

❥5x↠ 5×12 ↠ 60°

❥9x↠ 9×12 ↠ 108°

❥13x↠ 13×12 ↠ 156°

━━━━━━ • ✿ • ━━━━━━

Answer 2

Answer:

ANSWER AS FOLLOW

Step-by-step explanation:

SUM OF ALL ANGLES OF QUADRILATERAL IS 360°

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

Therefore, 30x = 360

x = 12

x = 12

THEREFORE,

3x = 36

5x = 60

9x = 108

13x = 156

MARK IT BRAINIEST ✌️