Question

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

the quadrilateral.​

Answer 1

Step-by-step explanation:

Let the angle be x

3x+5x+9x+13x=360°

30x=360°

x=360/30

x=12°

so the angles are 36°,60°,108°,156°

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Answer 2

Step-by-step explanation:

The angles of quadrilateral are in the ratio 3:5:9:13. ----( given )

Let 3 : 5 : 9 : 13 be 3x, 5x, 9x and 13x.

We know that,

the total angle sum of angles of the quadrilateral is 360°.

3x + 5x + 9x + 13x = 360°

30x = 360°

x = 360 / 30

x = 12°

The measures of four angles -

3x = 3 × 12 = 36 °

5x = 5 × 12 = 60°

9x = 9 × 12 = 108°

13x = 13 × 12 = 156°

Hope it helps.