HMMT November 2022 U9

Let $A B C D$ be a trapezoid such that $A B \| C D, \angle B A C=25^{\circ}, \angle A B C=125^{\circ}$ , and $A B+A D=C D$ . Compute $\angle A D C$ .

Dataset text NuminaMath olympiads. Quoted with source.

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70^{\circ}

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