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il63 [147K]
3 years ago
15

Find Arc measure of ABC

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
8 0
268


Hopefully that helps
Softa [21]3 years ago
4 0

Answer:

268°

Step-by-step explanation:

In\: \odot O, AB is diameter.

So, \widehat{AB} \:\&\: \widehat {BA} are semicircular arcs.

\therefore m\widehat {AB} =m\widehat {BA} = 180\degree

\because \: m\widehat {BC} = m\widehat {BA} - m\widehat {CA}

\therefore \: m\widehat {BC} = (180-92)\degree

\therefore \: m\widehat {BC} =88\degree

\because m\widehat {ABC} = m\widehat {AB}+m\widehat {BC}

\therefore m\widehat {ABC} = 180\degree+88\degree

\therefore m\widehat {ABC} = 268\degree

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