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 angles be = 3x 5x 9x 13x

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

30x=360

x=12

ANGLES:-

36

60

108

156

Answer 2

Given :

Angles of Quadrilateral are in ratio 3 : 5 : 9 : 13 .

To Find :

All angles of Quadrilateral .

Solution :

Let :

• ∠A = 3x
• ∠B = 5x
• ∠C = 9x
• ∠D = 13x

As we know that , ∠A + ∠B + ∠C + ∠D = 360°

Now :

$\sf{3x+5x+9x+23x=360^{\circ}}$

30x = 360°

x = 360/30

x = 12

So , The value of x is 12 .

So ,

→ ∠A = 3x

3(12) = 36

→ ∠B = 5x

5(12) = 60

→ ∠C = 9x

9(12) = 180

→ ∠D = 13x

13(12) = 156