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Tuymaada 2022

Source: Tuymaada 2022 Junior P-7

September 12, 2022
geometryangle

Problem Statement

MM is the midpoint of the side ABAB in an equilateral triangle △ABC.\triangle ABC. The point DD on the side BCBC is such that BD:DC=3:1.BD : DC = 3 : 1. On the line passing through CC and parallel to MDMD there is a point TT inside the triangle △ABC\triangle ABC such that ∠CTA=150.\angle CTA = 150. Find the ∠MTD.\angle MT D. (K. Ivanov )
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