343

Part of 1956 Moscow Mathematical Olympiad

Problems(1)

MMO 343 Moscow MO 1956 tangential ABCD, concurrency or // of tangents

Source:

A quadrilateral is circumscribed around a circle. Prove that the straight lines connecting neighboring tangent points either meet on the extension of a diagonal of the quadrilateral or are parallel to it.

concurrenttangentialTangentsparallel