Question

The angles of a quadirateral cannot be in the ratio 1:2:3:6 why? Give reasons. (hint:try to draw a diagram of this quadrilateral).

Answer 1

hello ♥️

Let the angles of the quadrilateral be x,2x,3x,6x.

If these are the angles of a quadrilateral, then

x+2x+3x+6x=360°

12x=360

x=30

Therefore, the angles are 30°,60°,90° &180°.

But , 180 ° cannot be an angle of a quadrilateral .

Hence, the angles of a quadrilateral cannot be in the ratio 1:2:3:6.

hope it helps ♥️

Answer 2

Answer: coz if you take for instance 1= 10 then 2 will be = 20 ,3 will be 30 and eventually 6 will be =60 so adding each one of them we get 120 and angles of quadrilateral sum up to be 360!

Step-by-step explanation