In the adjoining firgure, if O is the centre of circumeircle of `Delta ABC and angle AOC=110^(@)`, find the value of `angle ABC`

Explanation

The figure, in circle produced by the major are `overset(frown)(AC)=angleABC` and the centre angle = reflex `angleAOC`.
`:.` by theorem-34 reflex `angleAOC=2 angleABC`
or, `360^(@),-angleAOC=2 angle ABC, or 360^(@)- 110^(@)=2 angle ABC [ :. angle AOC=110^(@)]`
or, `250^(@)=2 angle ABC`
`or, angle ABC=(250^(@))/(2)=125^(@) :. angleABC=125^(@)`