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Math Prize 2016 Problem 15

Source:

September 12, 2016
Math Prize for Girls

Problem Statement

Let HH be a convex, equilateral heptagon whose angles measure (in degrees) 168∘168^\circ, 108∘108^\circ, 108∘108^\circ, 168∘168^\circ, x∘x^\circ, y∘y^\circ, and z∘z^\circ in clockwise order. Compute the number yy.
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