Posted by Jane on .
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,
since BD bisects <ABC, m<ABD = m<DBC
4x16 = 2x+6
2x = 22
x = 11
m<ABC = m<ABD + m<DBC = 4*1116 + 2*11+6 = 28+28 = 56 
geometry 
Jane,
Steve, thank you so much. You explained it so I could understand it.

geometry 
Steve,
That's the plan. :)

geometry 
Arooj,
in triangle ABC, BD bisects <ABC, <ABD = 4x + 6 and m<DBC = 5x 5. find the m<abc