Question

the four angles of a quadrilateral are in the ratio 1:3:7:9.the smallest angle of a quadrilateral is ​

Answer 1

Answer:

1x+3x+7x+9x=360

20x=360

x=18

Step-by-step explanation:

there fore smallest angle is 18(since 1x is the smallest)

Answer 2

Answer:

first angle = 18

second angle = 3*18 = 54

third angle = 7*18 = 126

fourth angle = 9*18 = 162

smallest angle = 18

Step-by-step explanation:

let angles = 1x, 3x, 7x, 9x

sum of angles of a quadrilateral is equals to 360

therefore, 1x+3x + 7x + 9x = 360

20x = 360

x = 360/20

x= 36/2

x= 18