Question

find the smallest angle of quadrilateral if its angles are in the ratio 2: 3 :4 :6.​

Answer 1

Answer:

smallest Angel of quadrilateral is 48

Step-by-step explanation:

sum of Angeles of quadrilateral is 360

the angles are in ratio 2:3:4:6

so we can write,

2x+3x+4x+6x=360

15x=360

x=360\15

x=24

2x=2*24=48

3x=3*24=72

4x=4*24=98

6x=6*24=144

Answer 2

let angle 1 be 2x

angle 2 be 3x

angle 3 be 4x

angle 4 be 6x

now,

sum of the angles of quadrilateral = 360

2x + 3x + 4x + 6x = 360

15x = 360

x = 360

15

x=24

1st angle = 2 X 24 = 48

2nd angle = 3 X 24 = 72

3rd angle = 4 X 24 = 96

4th angle = 6 X 24 = 144

now,

the smallest angle is 48 degree