Question

A classmate is having difficulty finding the measures of <BGE and <BDG in the diagram on the right. What mathematical advice would you give them? Be sure to address the information they would need and describe how they would find these angle measures.

Answer 1

Part 1) Find the measures of angle BGE
we know that
The inscribed angle measures half of the arc it comprises
so
angle BGE=(1/2)*[arc EB]

Part 2) Find the angle BDG
we know that
The measure of the external angle is the semi-difference of the arcs that it covers.
so
angle BDG=(1/2)*[arc GEB-arc GB]