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kifflom [539]
3 years ago
7

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

History
2 answers:
alexdok [17]3 years ago
7 0
This answer to this problem is 64
stepan [7]3 years ago
5 0

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°.

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