If the angles of a quadrilateral are x, x + 30°, x + 60° and 4x, then the difference between greatest angle and the smallest angle is
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Given : the angles of a quadrilateral are x, x + 30°, x + 60 and 4x
To Find : the difference between greatest angle and the smallest angle is
Solution:
angles of a quadrilateral are x, x + 30°, x + 60 and 4x
Sum of all angles of Quadrilateral = 360°
x + x + 30° + x + 60° + 4x = 360°
=> 7x = 270°
=> x = 270° / 7
Smallest x = 270° / 7 and
Largest 4x = 4* 270° / 7
Difference = 4x - x = 3 * 270° / 7 = 115.7°
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