We had the following puzzle in class tonight. We are to work on it until next week. I'll describe the drawing instead of trying to draw it.
Draw an isosceles triangle ABC where angle B & C are the same (80 degrees). Place a point somewhere on side AB and call it D. Place a point on side AC and call it E. Connect segment BE, DE, and CD. We know this much.... angle EBC = 60 angle EBD = 20 angle DCE = 30 angle DCB = 50 The question is what does angle DEB = ?
The person who gave us this said we would never get it & when we saw the solution we would say "Of course!" We want to prove him wrong. Thanx!