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find the greater angle of trapezoid

Source: Sharygin 2023 - P13 (Grade-8-11)

March 4, 2023
geometrytrapezoidanglesSharygin Geometry OlympiadSharygin 2023

Problem Statement

The base ADAD of a trapezoid ABCDABCD is twice greater than the base BCBC, and the angle CC equals one and a half of the angle AA. The diagonal ACAC divides angle CC into two angles. Which of them is greater?
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