A Pentagon and a Square Walk Into a Bar

Geometry Level 2

\(ABCDE\) is a regular pentagon. On the outside of \(AB\), we construct a square \(ABFG\). What is the measure (in degrees) of \( \angle EAG\)?

Details and assumptions

The measure of an angle is given as a value from \(0^\circ\) to \(180^\circ\).

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