The angles of a quadrilateral are in the ratio of 7:5:4:2. Find all the angles of this quadrilateral.

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1. Answer:

   2:4:5:7

   Let x be the common multiple.

   2x+4x+5x+7x=360

   Sum of angles in a quadrilateral is 360 degree.

   18x=360

   x=20

   ∴ 2x=2×20=40,

   4x=4×20=80,

   5x=5×20=100,

   7x=7×20=140

   40, 80, 100, 140 are angles of quadrilateral.

   Step-by-step explanation:

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