Question

The angle of quadrilateral are in the radio 3:5:9:13.Find all the angles of the quadrilateral.​

Answer 1

Answer:

a= 36° b=60°  c=108° d=156°

Step-by-step explanation:

Let angles in the ratio 3: 5:9:13 be a, b, c&d  

Let a = 3x, b = 5x, c = 9x, d = 13x

where x is any number  

We know that

Sum of angles of a quadrilateral is 360°,

a + b + C + d = 360° (Angle sum property of quadrilateral)

3x + 5x + 9x + 13x = 360°

30x = 360°  

360

X=360/30

x = 12°

Hence, the angles are  

a = 3x = 3 x 12° = 36°

b = 5x = 5 x 12° = 60°  

c = 9x = 9 x 12° = 108°

d = 13x = 13 x 12° = 156°

HOPE IT WAS HELPFUL