Question

The angal of quadrilateral are in the ratio 3:5:9:13 find all the angles of the quadrilateral

Answer 1

Answer:

Step-by-step explanation:

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

= 30x = 360

x = 360/30

x = 12

First angle = 3 × 12 = 36°

Second angle = 5 × 12 = 60°

Third angle = 9 × 12 = 108°

Fourth angle = 13 × 12 = 156°

Answer 2

Answer:

36° , 60° , 108° , 156°

Step-by-step explanation:

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

Sum of all interior angles of a quadrilateral is 360°,

3x + 5x + 9x + 13x = 360°

30x = 360°

x = 360 / 30

x = 12

Hence,

3x = 3 × 12 = 36°

5x = 5 × 12 = 60°

9x = 9 × 12 = 108°

13x = 13 × 12 = 156°

Therefore, all angles of the quadrilateral are 36 °,

60°, 108°, 156°.

Hope you liked it,

Please follow me for more problems,

Thank you