Question

In a quadrilateral,if the angles are in the ratio 3:4:5:6, then the difference between the gratest and smallest angle is

Answer 1

hyyy....

as the sum of all angles of a quadrilateral is equal to 360 ° ....

let the angles be 3x , 4x , 5x and 6x ...

a/q, 3x + 4x + 5x + 6x = 360°

18x = 360°

x = 20 °

now , the angles will be 3x = 3 × 20 ° = 60 ° , 4x = 4 × 20 = 80 ° , 5x = 5 ×20 ° = 100 ° and 6x = 6 × 20° = 120° ....

so ... greatest angle is 120° and smallest angle is 60° ....

and there difference = 120 ° - 60 ° = 60 ° answer

hope this helps !