MathDB

8.6

Part of 2023 Ukraine National Mathematical Olympiad

Problems(1)

It's Hard to Make Easy Geometry for 8th Grade

Source: Ukrainian Mathematical Olympiad 2023. Day 2, Problem 8.6, 10.5

4/5/2023
In a convex pentagon ABCDEABCDE the following conditions hold : AB∥CDAB \parallel CD, BC∥DEBC \parallel DE, and ∠BAE=∠AED\angle BAE = \angle AED. Prove that AB+BC=CD+DEAB + BC = CD + DE
Proposed by Anton Trygub
geometrypentagon