MathDB
0452 geometry 4th edition Round 5 p2

Source:

May 7, 2021
geometry4th edition

Problem Statement

Let ABCDABCD be a convex quadrilateral, and let KK be a point on sideAB AB such that KDA=BCD\angle KDA = \angle BCD. Let LL be a point on the diagonal ACAC such that KLBCKL \parallel BC. Prove that KDB=LDC\angle KDB = \angle LDC.