Answer:
[tex]ABD = CBD = 44[/tex]
[tex]ABC =88[/tex]
Step-by-step explanation:
The question is not properly formatted;
[tex]ABD = 6x + 14[/tex]
[tex]CBD = 3x + 29[/tex]
Required
Determine ABC
Since BD is the bisector, then
[tex]ABD = CBD[/tex]
[tex]6x + 14 = 3x + 29[/tex]
Collect Like Terms
[tex]6x - 3x = 29 -14[/tex]
[tex]3x = 15[/tex]
[tex]x =5[/tex]
[tex]ABD = 6x + 14[/tex]
[tex]ABD = 6 * 5 +14[/tex]
[tex]ABD = 30 +14[/tex]
[tex]ABD =44[/tex]
[tex]ABD = CBD = 44[/tex]
[tex]CBD = 44[/tex]
ABC is calculated as
[tex]ABC = CBD + ABD[/tex]
[tex]ABC = 44 + 44[/tex]
[tex]ABC =88[/tex]
