Question

A classmate is having difficulty fidning the measures of angle BGE and angle BDG in the diagram below. what mathematial advice would you give them? Be sure to address the information they would need and desxcribe how they would find these 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]