MathNet 2019-part-07 — 184 problems (EN–VI) Question 107

Let the triangle $ABC$ be such that $2AC = AB$ and $\angle A = 2\angle B$. Let $AL$ be its bisector and let $M$ be the midpoint of $AB$. It turns out that $CL = ML$. Show that $\angle B = 30^\circ$.

(Danylo Khilko)


**Fig. 4**