Question

Find the measures of arc FBD

Answer 1

Option (4)

Explanation:

`m(\widehat{FC})` = 180° [FC is the diameter]

`m(\widehat{FC})=m(\widehat{FB})+m(\widehat{BC})`

180° = 125° +
`m(\widehat{BC})`

`m(\widehat{BC})=180-125` = 55°

`m(\widehat{FBD})=360-m(\widehat{FED})`

`=360-[m(\widehat{FE})+m(\widehat{ED})]`

`=360-[m(\widehat{BC})+m(\widehat{ED})]` [Since
`m(\widehat{FE})=m(\widehat{BC})` arcs created by vertical angles]

`=360-(55+56)`

= 249°

Therefore, Option (4) will be the answer.