Answer
The acute interiors angles of a regular pentagram measure 36$^{\circ}$.
Work Step by Step
Exterior angles of a pentagon.
E=$\frac{360}{5}$
E=72$^{\circ}$
The acute angles of a pentagram are the third angle of isosceles triangles whose base angles are equal to the external angles of the pentagon.
E+E+m$\angle$A=180
72+72+m$\angle$A=180
m$\angle$A=36
