\[\cup AB = \cup BC = \cup CD = \cup DE = \cup AE.\]
\[1)\ \angle BAC = \frac{1}{2} \cup BC =\]
\[= \frac{1}{2} \bullet \frac{360{^\circ}}{5} = 36{^\circ};\]
\[2)\ \angle BAD = \frac{1}{2} \cup BD =\]
\[= \frac{1}{2} \bullet \frac{2 \bullet 360{^\circ}}{5} = 72{^\circ};\]
\[3)\ \angle BAE = \frac{1}{2} \cup BE =\]
\[= \frac{1}{2} \bullet \frac{3 \bullet 360{^\circ}}{5} = 108{^\circ};\]
\[4)\ \angle CAD = \frac{1}{2} \cup CD =\]
\[= \frac{1}{2} \bullet \frac{360{^\circ}}{5} = 36{^\circ};\]
\[5)\ \angle DAE = \frac{1}{2} \cup DE =\]
\[= \frac{1}{2} \bullet \frac{360{^\circ}}{5} = 36{^\circ}.\]