Inscribed Angles

by Sofia Arcoy
Observe Angles DBE and DCE, and their relationship to Angle DAE.
The [b]Inscribed Angle Theorem[/b] states that: [i]The measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc. [br][br][/i]In this case, [b]Angles DBE and DCE[/b] are[b] inscribed angles[/b] that measure [b]one-half[/b] of [b]Angle DAE [/b](Given that they all subtend the same Arc: Arc DE). Also, since the two inscribed angles subtend the [b]same arc[/b], then their measures are [b]equal[/b].

Information: Inscribed Angles