Question

Question #c679c

Answer 1

`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`.