Question

if the angle of a quadrilateralare in the ratio9:7:5:3 find the smallest one​

Answer 1

Answer:

let the four angles be 9x,7x,5x,3x

now by angle sum property of a quadrilateral

9x+7x+5x+3x=360°

24x=360°

x=360/24=15°

Step-by-step explanation:

hence the angles are:

9x=(9*15)=135°

7x=(7*15)=105°

5x=(5*15)=75°

3x=(3*15)=45°

Answer 2

let the unknown value be x

sum of angles of quadrilateral is 360 degree

9x + 7x + 5x + 3x = 360

24x = 360

x = 360/24

x = 15

among 9x,7x,5x and 3x ,3x is less

3x = 15×3

= 45

45 is the correct answer