Question

if the measures of the four angles of a quadrilateral are in the ratio of 1:3:7:9,then find all the angles​

Answer 1

Answer:

sum of all angles in a quadrilateral is 360 degrees

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

20x=360

x=18degrees

1x=1(18) =18

3x=3(18) =54

7x=7(18) =126

9x=9(18) =162

Answer 2

Step-by-step explanation:

let let the common ratio be x

so angles are 1x,3x,7x,9x

we know that, sum of angles of a quadrilateral is 360°

so,

1x°+3x°+7x°+9x°=360°

20x°=360°

$x = \frac{360}{20} \\ x = 18$

so angles are

1x=18

3x=3×18= 54°

7x=7×18=126°

9x=9×18=162°