Answer:
17
Step-by-step explanation:
Angle BGD, Angle AGD and Angle AGC form a linear pair since they form half of a circle which is 180. Also BGD and AGC are vertical angles so they are equal to each other so we can represent this as
[tex]agd = bgd[/tex]
[tex]agd + 2(bgd) = 180[/tex]
[tex]146 + 2(bgd) = 180[/tex]
[tex]2(bgd) = 34[/tex]
[tex]bgd = 17[/tex]
