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Omni-MATH / M is the midpoint of the side AB in an equilateral triangle △ABC. The point D on the side BC is such that BD:DC=3:1. On the line passing through C and parallel to MD there is a poi…

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problem

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. [i](K. Ivanov )[/i]
Plain-text mathematical notation (without MathML)
M is the midpoint of the side AB in an equilateral triangle △ABC. The point D on the side BC is such that BD:DC=3:1. On the line passing through C and parallel to MD there is a point T inside the triangle △ABC such that ∠CTA=150. Find the ∠MTD.
[i](K. Ivanov )[/i]
Original LaTeX notation
$M$ is the midpoint of the side $AB$ in an equilateral triangle $\triangle ABC.$ The point $D$ on the side $BC$ is such that $BD : DC = 3 : 1.$ On the line passing through $C$ and parallel to $MD$ there is a point $T$ inside the triangle $\triangle ABC$ such that $\angle CTA = 150.$ Find the $\angle MT D.$
[i](K. Ivanov )[/i]

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task_id
44fe4f12-d162-5c45-8c67-db02d79fc907
task_key
test--44fe4f12-d162-5c45-8c67-db02d79fc907
task_revision_id
1
config / split
/ test

Official source

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