The angles of a quadrilateral are in A.P. whose common difference is 10. Find the angles

assume the angles are a - 2d, a - d, a + d, a + 2d

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


Given: d = 10


To find: angles of the quadrilateral


So, a - 2d + a - d + a + d + a + 2d = 360


4a = 360


a = 90


hence the angles are a - 2d, a - d, a + d, a + 2d which is 70, 80, 100, 110


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