Pentagon
rhombus
an equilateral triangle
A kite.
A Kite
There is no such shape. A 2d shape with 5 sides and all equal angles must be a regular pentagon (or a 5-pointed star if you stretch the definition of "all angles"). And a regular pentagon - or star - has 5 lines of symmetry.
octagon
a square
7
square and rectangles are technicality squares
Impossible.
An irregular quadrilateral.