MathDB
2012-2013 Winter OMO #3

Source:

January 16, 2013
Online Math Open

Problem Statement

Three lines mm, nn, and \ell lie in a plane such that no two are parallel. Lines mm and nn meet at an acute angle of 1414^{\circ}, and lines mm and \ell meet at an acute angle of 2020^{\circ}. Find, in degrees, the sum of all possible acute angles formed by lines nn and \ell.
Ray Li