Question

Find the measure of ABC. Show your work.

Answer 1

`m\angle ABC=47^o`

Explanation:

we know that

The measure of the external angle is the semi-difference of the arches it covers

so

`m\angle ABC=(1)/(2)[arc\ DE-arc\ AC]`

substitute the given values

`m\angle ABC=(1)/(2)[142^o-48^o]`

`m\angle ABC=47^o`