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kkurt [141]
3 years ago
5

Help solving this I’m don’t understand

Mathematics
1 answer:
ladessa [460]3 years ago
4 0

AB is a chord that passes through the center O, which means the central angles BOC and AOC are supplementary. So

m\angle BOC+m\angle AOC=180^\circ\implies m\angle AOC=180^\circ-55^\circ=125^\circ

Central angles and the arcs they subtend have the same measure, so that

m\widehat{AC}=m\angle AOC=125^\circ

m\widehat{CBA}=m\widehat{BC}+m\widehat{AB}=m\angle BOC+m\angle AOB=55^\circ+180^\circ=235^\circ

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