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MathNet 2023-part-07 — 187 problems (EN–VI) Question 8

Math Olympiad Vault · MathNet 2023-part-07 — 187 problems (EN–VI)

Question 8

In a convex pentagon $ABCDE$ the following conditions are satisfied: $AB \parallel CD$, $BC \parallel DE$ and $\angle BAE = \angle AED$. Prove that $AB + BC = CD + DE$.

Question illustration
Figure 16