A few years ago, i was asked to prove the following statements during an oral exam (i failed in proving it ..but passed the exam!). i hope you'll understand the statements i havent a perfect english.
1 - take a ABC triangle. 2 - divide each angle in three equal angle with 2 lines. 3 - 1 line of angle A meets one of angle B in a point M - the second line of angle A meets one of angle C in a point N - the second line of angle B meets the second line of angle C in a point O
Prove that MNO is an equilateral triangle (MN=NO=OM)