For angle A can we assume that both sides would be equal to 5x-9 since it is being cut in the middle? My original answer was x = 12 and I am very confused now

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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For angle A can we assume that both sides would be equal to 5x-9 since it is being cut in the middle? My original answer was x = 12 and I am very confused now 

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