Answer
$108 ^{\circ}$
Work Step by Step
If we dived the pizza into 5 congruent triangles the angle between made at the center of the pentagon in a triangle = $\frac{360}{5}= 72^{\circ}$
angle made by the other 2 corners = $\frac{180-72}{2}=54^{\circ}$
So interior angle made = $2 \times 54 $
=$108 ^{\circ}$