Geometry · Equilateral pentagon · Isosceles triangles · Rhombus · Angle sum
In a pentagon \(ABCDE\) all five sides are congruent to one another, and
\[ \angle BAE = 2 \angle CAD . \]
Determine \(\angle BAE\).
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Serbian Regional Competition (Okruzno takmicenje) 2002, high school grade I, category A, problem 3. Organized by the Mathematical Society of Serbia (DMS). Source