The measure of angle of one piece is 45 degree. If 8 such piece is placed together then tota angle is equal to sum of all angles.
In such manner 8 piece of pizzas are placed and net angle is sum of angles of individual peice. So,
[tex]\begin{gathered} \theta=45+45+45+45+45+45+45+45 \\ =45\cdot8 \\ =360 \end{gathered}[/tex]Answer is 360 degree.