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angles and diagonals in reg. 72-gon - Greece Juniors 1990 p3

Source:

September 14, 2024
geometryRegularangles

Problem Statement

Let A1A2A3...A72A_1A_2A_3...A_{72} be a regurar 7272-gon with center OO. Calculate an extenral angle of that polygon and the angles ∠A45OA46\angle A_{45} OA_{46}, ∠A44A45A46\angle A_{44} A_{45}A_{46}. How many diagonals does this polygon have?
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