Angles in an equilateral pentagon

Geometry Level 4

Let \(ABCDE\) be an equilateral convex pentagon such that \(\angle ABC=136^\circ\) and \(\angle BCD=104^\circ\). What is the measure (in degrees) of \(\angle AED\)?

Note: An equilateral polygon is a polygon whose sides are all of the same length. It does not imply that all the internal angles are equal, nor that the polygon is cyclic.

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