Question

if the angle of a quadrilateral are in the ratio of 5:8;11:12, find the angles plz explain step by step​

Answer 1

Let the angles of the quadrilateral be

5x, 8x, 11x, 12x

We know that the sum of all angles in a quadrilateral = 360°

So,

$=5x+ 8x + 11x + 12x \\ = 36x$

36x = 360

x = 360/36

x = 10

Hence, the angles are :-

5x = 5*10 = 50°

8x = 8*10 = 80°

11x = 11*10 = 110°

12x = 12*10 = 120°

Hope it helps