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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