Answer:
<ABD = 44
<DBC = 44
<ABC = 88
Step-by-step explanation:
If an angle bisects another, then the two resulting angles are equal
In this case <ABC is bisected by BD
which means that
<ABD = <DBC
so
6x + 14 = 3x + 29
simplify and solve using inverse operations
6x + 14 = 3x + 29
-3x -14 -3x -14
3x = 15
/3 /3
x = 5
now substitute into the given values
< ABD = 6x + 14
= 5 * 6 + 14
= 30 + 14
= 44
<DBC = 3x + 29
= 5 * 3 + 29
= 15 + 29
= 44
< ABC = <ABD + <DBC
<ABC = 44 + 44
= 88
