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

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

April 5, 2023
geometrypentagon

Problem Statement

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
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