Answer:
Option D
m∠ABC=[tex]84\°[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The measurement of the external angle is the semi-difference of the arcs which comprises
In this problem
m∠ABC is the external angle
m∠ABC=[tex]\frac{1}{2} (major\ arc\ AC- minor\ arc\ AC)[/tex]
we have
[tex]minor\ arc\ AC=96\°[/tex]
[tex]major\ arc\ AC=360\°-96\°=264\°[/tex]
substitute
m∠ABC=[tex]\frac{1}{2} (264\°- 96\°)=84\°[/tex]
