HMMT 2004 G6

Geometry
Answer

In trapezoid $A B C D$ shown, $A D$ is parallel to $B C$ , and $A B=6, B C=7, C D=$ $8, A D=17$ . If sides $A B$ and $C D$ are extended to meet at $E$ , find the resulting angle at $E$ (in degrees).

Dataset text NuminaMath olympiads. Quoted with source.

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