A field is in a shape of quadrilateral whose angles are in the ratio 2 : 3 : 5 : 8 . Find the measure of angles.

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

Let the angles of the given quadrilateral be (2x)o , (3x)o , (5x)o and (8x)o.

2x + 3x + 5x + 8x = 360

(As the sum of angles of quadrilateral is 360o)

18x = 360

x = 20

So, the angles of the given quadrilateral are (2 × 20)o , (3 × 20)o , (5 × 20)o and (8 × 20)o

i.e., 40o , 60o , 100o and 160o.

Answered by  | 4th Jun, 2014, 03:23: PM