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MathNet 1999 — Part 01 Question 61

Math Olympiad Vault · MathNet 1999 — Part 01

Question 61

Let $ABCD$ be a trapezoid with $AB \parallel CD$, $AB \gt CD$ and $AD \gt BC$. Show that

i. $\angle CBA \gt \angle DAB$,

ii. $AC \gt BD$.