Question

the angles of a quadrilateral are in the ratio 1:2:3:6. why give reasons
( hint: try to draw a rough diagram of this quadrilateral ​

Answer 1

Step-by-step explanation:

Let the angles be = 1x, 2x, 3x and 6x

We know,

Sum of angles of a quadrilateral =360°

1x + 2x + 3x + 6x = 360°

12x = 360°

x=360°

12

x = 30°

Now each angle,

1x = 30°

2x = 60°

3x = 90°

6x = 180°

Answer 2

Step-by-step explanation:

Let the required angles be x, 2x, 3x and 6x

now, according to question

x+2x+3x+6x = 360

12x = 360

x=30

now,

angles are x=30

2x=2*30 =60

3x =3*30 = 90

6x = 6*30 =180