# Problem 5. (3 points)

Given a triangle $ABC$. Points $D$ and $E$ are taken on side $AC$, and segments $BD$ and $BE$ are drawn, dividing triangle $ABC$ into three triangles, one of which is equilateral, and the other two are isosceles. Find the measure of angle $B$. It is known that the sum of the angles in a triangle is 180 degrees.

If there are multiple answers, list all possible answers separated by commas or semicolons.
# Problem 5. (3 points)

Given a triangle $A B C$. Points $D$ and $E$ are taken on side $A C$, and segments $B D$ and $B E$ are drawn, which divide triangle $A B C$ into three triangles, one of which is equilateral, and the other two are isosceles. Find the measure of angle $B$. It is known that the sum of the angles in a triangle is 180 degrees.

If there are multiple answers, list all possible answers separated by a comma or semicolon.

Answer: $105 ; 120$