Question

A central angle is an angle whose vertex is at center of a circle. Find measure angle ACC

Answer 1

Part 1

`m\angle AOB=m\angle BOC`

Part 2

Since
`m\angle AOB=m\angle BOC` from part 1, we know that since
`m\angle AOB=53^(\circ)`, by the transitive property of equality,
`m\angle BOC=53^(\circ)`.

Part 3

`m\angle AOC=m\angle AOB+m\angle BOC=53^(\circ)+53^(\circ)=106^(\circ)`