Answer:
The measure of angle DFE is 64°.
Explanation:
Given information:The measure of arc DEF is 232°.
The measure of minor arc DF is
[tex]Arc(DF)=360^{\circ}-232^{\circ}=128^{\circ}[/tex]
According to central angle theorem, the measure of angle inscribed on a circle is half of its central angle.
[tex]\angle DE F=\frac{\angle DOF}{2}[/tex]
[tex]\angle DE F=\frac{128}{2}[/tex]
[tex]\angle DE F=64[/tex]
Therefore the measure of angle DFE is 64°.
