Question

The angles of a quadrilaterals are in the ration of 3:4:5:6. find its angles

Answer 1

let the angles be 3x 4x 5x 6x

thn sum of angles of quadrilateral is 360°

.°. 3x+4x+5x+6x=360

18x=360

x=20

the angles are

3x=3×20=60

4x=4×20=80

5x=5×20=100

6x=6×20=120

Answer 2

Answer:

36°

60°

108°

156°

let x be the common ratio between the angles.

Sum of the interior angles of the quadrilateral = 360°

or,3x+5x×9x+13x=360°

or,8x+22x =360°

or,30x=360°

or,x = 360°/30

therefore,x=12°

Angles of the quadrilateral

3x=3×12° = 36°

5x = 5×12° = 60°

9x = 9×12° =108°

13x= 13×12° = 156°