Question

The angles of the quadrilateral are in the ratio 2 is to 3 is to 4 is to 6 is to .find the measure of each of the fourth angles

Answer 1

Let the angles of the quadrilateral be 2a, 3a, 4a, 6a where is 'a' is any constant.

By the angles sum property of a quadrilateral,

2a + 3a + 4a + 6a = 360

15a = 360

a = 24

1st angle = 2×24 = 48°

2nd angle = 3×24=72°

3rd angle = 4×24=96°

4th angle = 6×24=144°

Hope this helps :)