1. Do the angles of a cyclic quadrilateral add up to 360o?

The interior angles of all quadrilaterals add up to 360o.

2. If the opposite angles of a quadrilateral add up to 180does the quadrilateral have to be cyclic?

Yes, a circle can be drawn through the vertices of all such quadrilaterals

3. Is a square a cyclic quadrilateral?

Yes, because its opposite angles add up to 180(90+ 90o)