Z7-I-5 MO 2017
Prokop constructed a triangle ABC whose interior angle at vertex A was greater than 60° and whose interior angle at vertex B was less than 60°. Juraj drew, in the half-plane determined by line AB and point C, a point D such that triangle ABD was equilateral. The boys then found that triangles ACD and BCD are isosceles with apex vertex D. Determine the measure of angle ACB.
Final Answer:

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Calculation of an isosceles triangle.
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Calculation of an isosceles triangle.
Calculation of an equilateral triangle.
See also our trigonometric triangle calculator.
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