Solve this Geometry Problem using Alternate Segments

[chwala]

Homework Statement

see attached.

Relevant Equations

Tangent- chord theorem

This is a textbook problem...clearly angle $AEG≠ 160^0$ there is something wrong with the value given,...I am trying to analyse this...

 

[anuttarasammyak]

The solution misuses tangent chord theorem.
Exact ones are
angle EAB= angle BEF
angle AEG= angle ABE

 

[chwala]

The solution misuses tangent chord theorem.
Exact ones are
angle EAB= angle BEF
angle AEG= angle ABE

That is correct, ...and exactly my thoughts. We ought to make use of the triangle only in establishing the tangent- chord theorem and not the quadrilateral...