Yes.
a pentagon
A pentagon has 5 lines of symmetry and no right angle.
Well, isn't that just a delightful shape you've described! A figure with 5 lines of symmetry and no right angles is called a pentagon. It has those lovely symmetrical qualities that make it so pleasing to the eye. Just imagine all the wonderful ways you could paint and create with such a shape!
A rectangle. Obviously the right angles are in the four corners of the rectangle. The lines of symmetry occur across the horizontal and vertical. There are no lines of symmetry on the diagonal.
None, since there are no right angles in a pentagon. The angles are 360/5 = 72o
The Pentagon has 5 lines of symmetry quite simply, actually. See, say you made one line straight through the pentagon at every vertex, right? Well, once you do that, you have 3 lines of symmetry in total, right? Now, say you make another 2 lines of symmetry, this time right through the center of each side. In total, this would make 5.
infinite.
it has four right angles and has four lines of symmetry
A rectangle.
it has four right angles and has four lines of symmetry
rectangle
A scalene triangle that is not right angled.