Answer:
[tex]m\angle{ABC}=144^{\circ}[/tex]
Step-by-step explanation:
By using Angle Addition Postulate, it holds:
[tex]m\angle{ABD}+m\angle{DBC}=m\angle{ABC}[/tex]
Substitute [tex]m\angle{ABD}=76^{\circ}[/tex] and [tex]m\angle{DBC}=68^{\circ}[/tex] into the equation:
[tex]76^{\circ}+68^{\circ}=m\angle{ABC}[/tex]
Add the measures:
[tex]m\angle{ABC}=144^{\circ}[/tex]
