Question

Find Arc measure of ABC

Answer 1

268°

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`