Question

2) The angle of a quadrilateral
ratio of 1:2:3:6, show that cannot happen.​

Answer 1

Answer:

Let the original angles be 1x , 2x , 3x , 6x

Sum of angles in a quadrilateral = 360°

1x + 2x + 3x + 6x = 360°

12x = 360°

x = 360/12 = 30°

hence putting the value of x , the value of angles :

1 x= 30°; 2x = 60°; 3x = 90°; 6x = 180°

It is not possible because if the angle will be 180° then it will form a straight line and the shape obtained will be a different figure instead of a quadrilateral.