Question

If the measure of arc DEF is 232°, what is the measure of ∠DEF?

Answer 1

this answer to this problem is 64

Answer 2

The measure of angle DFE is 64°.

Step-by-step explanation:

Given information:The measure of arc DEF is 232°.

The measure of minor arc DF is

`Arc(DF)=360^(\circ)-232^(\circ)=128^(\circ)`

According to central angle theorem, the measure of angle inscribed on a circle is half of its central angle.

`\angle DE F=(\angle DOF)/(2)`

`\angle DE F=(128)/(2)`

`\angle DE F=64`

Therefore the measure of angle DFE is 64°.