Question

Find the measure of ∠. 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=\frac{1}{2}[arc\ DE-arc\ AC]

substitute the given values

m\angle ABC=\frac{1}{2}[142^o-48^o]

m\angle ABC=47^o