Question

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

Answer 1

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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