4. A classmate is having difficulty finding the measures of <BGE and <BDG in the diagram on the right. What mathematical a

Question

3 years ago

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4. A classmate is having difficulty finding the measures of <BGE and <BDG in the diagram on the right. What mathematical a

dvice would you give them? Be sure to address the information they would need and describe how they would find these angle measures.
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Mathematics

1 answer:

Firlakuza [10] · Answer 1 · 2022-01-15T19:56:13+03:00

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]