#### Answer

m$\angle$1=60$^{\circ}$
m$\angle$2=120$^{\circ}$

#### Work Step by Step

Let x equal the measure of an arc between two vertexes of the hexagram.
x=$\frac{360}{6}$
x=60$^{\circ}$
m$\angle$1=.5(2x)
m$\angle$1=.5(120)
m$\angle$1=60$^{\circ}$
m$\angle$2=.5(3x+x)
m$\angle$2=.5(240)
m$\angle$2=120$^{\circ}$