SOLUTION: The angles of the quadrilateral are in A.P.The greatest angle of the quadrilateral is double the least. Find the angles of the quadrilateral.

Question 1021365: The angles of the quadrilateral are in A.P.The greatest angle of the quadrilateral is double the least. Find the angles of the quadrilateral.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The sum of the first n terms of an AP is given by
==> as per the given info.
But the sum of the interior angles of a quadrilateral is always 360 degrees.
Hence,
6x = 360
==> x = 60, and the angles of the quadrilateral are 60, 80, 100, and 120.
RELATED QUESTIONS
In a quadrilateral each angle is double another angle. What are the measures of the... (answered by Mathtut)

Three angles of a quadrilateral are in the ratio 1:2:3.The sum of the least and the... (answered by richwmiller)

In a quadrilateral each angle is double another angle. What are the measures of the... (answered by josmiceli)

b. In a quadrilateral, the sum of the measures of all the four angles is 360o. Suppose a... (answered by macston)

In a quadrilateral, the sum of the measures of all four angles is 360 degrees. Suppose a... (answered by solver91311)

The angles of a quadrilateral,taken are x, 5x,4x and 2x. Find these angles. Draw a rough... (answered by Solver92311)

The angles of quadrilateral, taken in order are x,5x,4x,and 2x.Find these angles. Draw a... (answered by Alan3354)

In a quadrilateral, the sum of the measures of all the four angles is 360 degrees.... (answered by josgarithmetic,MathTherapy)

Two angles of a quadrilateral are 45� and 85�. The other two angles are in the ratio 15 : (answered by fractalier)