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

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

$Arc(DF)=360^{\circ}-232^{\circ}=128^{\circ}$

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

$\angle DE F=\frac{\angle DOF}{2}$

$\angle DE F=\frac{128}{2}$

$\angle DE F=64$

Therefore the measure of angle DFE is 64°.