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If an angle is an inscribed angle, then its measure is equal to half the measure of the intercepted arc.

Definition of congruent angles

Transitive Property of Equality

If an angle is an inscribed angle, then its measure is equal to half the measure of the intercepted arc.

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Given circle J, show that m∠DCE ≅ m∠DFE.
m∠DCE = 1 over 2 1 2 m
DE
m∠DFE = 1 over 2 1 2 m
DE
m∠DCE = m∠DFE
∠DCE ≅ ∠DFE
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