Question 77
Given a convex hexagon $H$ with obtuse inner angles and parallel opposite sides.
a) Prove that there exists a pair of the opposite sides of $H$ which possesses the following property: there exists a straight line that is perpendicular to these sides and intersects each of them.
b) Is it true that there exist two pairs of the opposite sides of $H$, each of which possesses the same property, as described in item a)?
a) Prove that there exists a pair of the opposite sides of $H$ which possesses the following property: there exists a straight line that is perpendicular to these sides and intersects each of them.
b) Is it true that there exist two pairs of the opposite sides of $H$, each of which possesses the same property, as described in item a)?