Points $A_{1}, B_{1}, C_{1}$ are given inside an equilateral triangle $ABC$ such that $\widehat{B_{1}AB}= \widehat{A1BA}= 15^{0}, \widehat{C_{1}BC}= \widehat{B_{1}CB}= 20^{0}, \widehat{A_{1}CA}= \widehat{C_{1}AC}= 25^{0}$. Find the angles of triangle $A_{1}B_{1}C_{1}$.
Problem
Source: 13-th Hungary-Israel Binational Mathematical Competition 2002
Tags: geometry proposed, geometry