Geometry · Circle · Inscribed angle · Central angle · Locus
In a quadrilateral \(ABCD\),
\[ \angle ABC = 104^\circ, \qquad \angle ADC = 128^\circ, \qquad AB = BC = 2. \]
Compute the length of the diagonal \(BD\).
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Serbian Municipal Competition 2017, high school grade I, category A, problem 2. Organized by the Mathematical Society of Serbia (DMS). Source