Question

The angles of a quadrilateral are in the ratio 1:2:3:6.show that this cannot be happend

Answer 1

Hi,

The sum of measure of angles of quadrilaterali
is 360.

let keep the common multiple be x.

so angles are x,2x,3x and6x

Then,

x+2x+3x+6x=360
12x=360
x=30

so the angles are 30,60,90,180.

beacause of this angles it cannot be happened

Answer 2

Answer:

the angle of quadrilateral are in the ratio =1:2:3:6

let angle are =x,2x,3x,6x.

sam of all angles =x+2x+3x+6x=12x

sum of u angles = 360

12x=360°

x=360/12°

=30°

1st angle (x)=30°

2nd angle(2x)=2×30=60°

3rd angle (3x)=3×30=90°

4th angle (6x)=6×30=180°