Given ∠10≅∠14, which lines, if any, must be parallel based on the given information? Justify your conclusion. PHOTO: https://static.k12.com/nextgen_media/assets/8122467-NG_GMT_F_02_U05_Quiz_NP024_35.png

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Lines c and d must be parallel. This is because angles 10 and 14 are congruent (i.e. the magnitude of their angles is the same). Both angles share line a, which is intersected by line c (which makes up the other side of angle 10, and line d (which makes up the other side of angle 14).

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