Question #c679c

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Question #c679c

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Answer 1 · 2016-10-07T20:19:12

#x = 7#

Explanation:

As #bar(BD)# bisects #angleABC#, we have

#mangleABD = 1/2mangleABC = 1/2(40^@) = 20^@#

Equating that with one of the given equations for #x#, we have

#3x-1 = 20#

#=> 3x = 21#

#:. x = 7#

As a side note, we could also have arrived at the same conclusion by noting that #mangleABD = mangleCBD# and setting #3x-1 = 34-2x#, then solving for #x#.

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Question #c679c

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