Question

The circle below has center C. Suppose that m DE = 68° and that DF is tangent to the circle at D. Find the following.

Answer 1

∠DCE = 68°

∠EDF = 34°

Explanation:

Answer 2

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Answer:

∠DCE = 68°

∠EDF = 34°

Explanation:

The measure of an arc and its central angle are the same.

∠DCE = 68°

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The measure of an inscribed angle is half the measure of the arc it subtends. Angle EDF is the degenerate case of an inscribed angle that has one ray of zero length. The relationship to the arc measure remains the same.

∠EDF = 34°