Question

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Three angles of a quadrilateral are in the ratio 3 : 5 : 8. The mean of these
angles is 80°. Find all the four angles of the quadrilateral. ​

Answer 1

See answers below

Explanation:

Given the ratio of three angles as 3:5:8

Total ratio = 3+5+8 = 16

Mean = x+y+z/3

80 = x+y+z/3

x+y+z= 240

To get x;

x =3/16 * 240

x = 45degrees

To get y;

y = 5/16 * 240

y = 5 * 30

y = 75degrees

To get z;

z = 8/16 * 240

z = 120 degrees

Fourth angle = 360 - (120+75+45)

Fourth angle = 360-240

Fourth angle - 120 degrees