Question

find the smaller angle of a quadrilateral if they are in the ratio 1:2:3:4

Answer 1

Hey dear,
Let the ration be x

1x+2x+3x+4x=360°[angle sum prop.]
10x=360°
x=360°/10
x=36

1x=1*36=36°
2x=2*36=72°
3x=3*36=108°
4x=4*36=144

So, the smaller angle will be 36°

perfectly definitely pure correct answer.
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Answer 2

let angles be x, 2x,3x,4x
sum of angle of quadrilateral =360
10x=360
x=36
then putting the value of x on each angle
x=36
2x=72
3x=108
4x=144
so smallest angle is 36