CEMC Banner

Problem of the Week
Problem C
Angled

Line segments \(AB\) and \(CD\) are parallel, with \(AB\) above \(CD\). Point \(J\) lies above \(AB\), and points \(E\) and \(F\) lie on \(CD\), with \(E\) to the left of \(F\), so that \(JE\) intersects \(AB\) at \(G\) and \(JF\) intersects \(AB\) at \(H\).

If \(\angle CEG = 110\degree\) and \(\angle GHF = 122\degree\), determine the measure of \(\angle GJH\).

Theme: Geometry & Measurement