At what time after 4PM will the 6 o’clock mark bisect the angle formed by the minute and the hour hand?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.1: Circles And Related Segments And Angles
Problem 29E: An amusement park ride the Octopus has eight support arms that are equally spaced about a circle....
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At what time after 4PM will the 6 o’clock mark bisect the angle formed by the minute and the hour hand? 

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