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MathNet 2025 — 50 problems — Part 01 Question 22

Math Olympiad Vault · MathNet 2025 — 50 problems — Part 01

Question 22

Holden has a collection of polygons. He writes down a list containing the measure of each interior angle of each of his polygons. He writes down the list $30^{\circ}$, $50^{\circ}$, $60^{\circ}$, $70^{\circ}$, $90^{\circ}$, $100^{\circ}$, $120^{\circ}$, $160^{\circ}$, and $x^{\circ}$, in some order. Compute $x$.