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Can someone please help I’m not understanding this anymore. I thought I had it but I don’t

Can someone please help I’m not understanding this anymore. I thought I had it but-example-1

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Answer:

<DOC = <AOB =50* as opposite angles.

<DOE + <DOC + <EOA = 180*, thus <EOA = 180-50-60 =70*.

<COB + <AOB = 180*, thus <COB = 130*.

// Central angles equal the arcs they rely on.

Arc AE = <EOA = 70*.

Arc AB = <AOB = 50*.

Arc ECB = <EOD + <DOC + <COB = 60+50+130 = 240*.

Arc BOC = <COB = 130*.

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