This means that 15x=360 and the angles are 24, 48, 96, 192.
What?
The sum of the interior angles of a polygon is (n-2)*180; for a quadrilateral this means the sum of the angles is 360. This is a theorem from plane geometry. Remember?
If the angles are 1x, 2x, 4x, and 8x, you get the equation I presented first.