Posted by **Jane** on Friday, September 14, 2012 at 10:48am.

Algebra BD bisects <ABC. Solve for x and find m<ABC.

m<ABD = 4x - 16, m<CBD = 2x + 6

Please teach me how to work this.

- geometry -
**Steve**, Friday, September 14, 2012 at 11:34am
since BD bisects <ABC, m<ABD = m<DBC

4x-16 = 2x+6

2x = 22

x = 11

m<ABC = m<ABD + m<DBC = 4*11-16 + 2*11+6 = 28+28 = 56

- geometry -
**Jane**, Friday, September 14, 2012 at 1:28pm
Steve, thank you so much. You explained it so I could understand it.

- geometry -
**Steve**, Friday, September 14, 2012 at 2:16pm
That's the plan. :-)

- geometry -
**Arooj**, Tuesday, January 1, 2013 at 5:46pm
in triangle ABC, BD bisects <ABC, <ABD = 4x + 6 and m<DBC = 5x -5. find the m<abc

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