Question

The angle of a quadrilateral are in the ratio 1 : 2 : 3 : 6. Show that this cannot happen

Answer 1

Answer:

It can happen

Explanation:

1 : 2 : 3 : 6

Let the constant ratios be x

sum of angles of quadrilateral = 360°

x + 2x + 3x + 6x = 360°

12x = 360°

x = 360°

12

x = 30°

2x = 2×30 = 60°

3x = 3×30 = 90°

6x = 6×30 = 180°