Question 162
Find out if there is a convex pentagon $A_1A_2A_3A_4A_5$, such that for $i = 1, 2, 3, 4, 5$ the lines $A_iA_{i+3}$, $A_{i+1}A_{i+2}$ are not parallel and intersect in a point $B_i$ and also the points $B_1, B_2, B_3, B_4, B_5$ are collinear. (We assume $A_6 = A_1, A_7 = A_2, A_8 = A_3$.)