Question

angles of a quadrilateral are in the ratio 3 :3 : 1 and fourth angle is 80 find the smallest angle

Answer 1

let the angles be 3x,3x,x,80
so
3x+3x+x+80= 360
7x= 280
x=40
so the smallest angle is 40 degrees....

Answer 2

let the no. be as X
1st angle =3x
2nd angle=3x
3rd angle =X
fourth angle is 80°
angle sum property of quadrilateral is 360°
A/q
3x+3x+X+80=360°
7x=360°-80°
7x=280°
X=280/7
X=40
Hence,
1st angle is 3x=3*40=120°
2nd angle is 3x=3*40=120°
3rd angle is X=40°
4th angle is 80° (Given)
Therefore,the smallest angle is 40° Ans