Question

The angle of equalitaereal are
in the ratio 3:5:9:13. find all
the angles of the quailateral​

Answer 1

Answer:

• Angle 1st = 36°
• Angle 2nd = 60°
• Angle 3rd = 108°
• Angle 4th = 156°

Step-by-step explanation:

Given:

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

To Find:

• All the angles of quadrilateral.

Let, angles of quadrilateral be 3x, 5x, 9x, 13x.

Now, we know that sum of all angles of quadrilateral = 360°

=> Angle 1 + Angle 2 + Angle 3 + Angle 4 = 360°

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

=> 30x = 360

=> x = 360/30

=> x = 12°

Hence, Angle of quadrilateral are:

• Angle 1 = 3x = 36°
• Angle 2 = 5x = 60°
• Angle 3 = 9x = 108°
• Angle 4 = 13x = 156°

Answer 2

Answer:

Sum of a Quadrilateral =360

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

30x =360

x =360÷ 30

x =12

3:5:9:13

angle 3 = 3×12 =36 angle

5=5×12 = 60 angle

9 =9×12 =108 angle

13 = 13 ×12 =156 angle