Answer:
The measure of angle ∠ ABC is 96°.
Step-by-step explanation:
Inscribed angle theorem:
The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
Here,
central angle is 192°
∴ [tex]m\angle ABC = \frac{1}{2}\times (center\ angle)\\[/tex]
On substituting the given values we get
∴ [tex]m\angle ABC = \frac{1}{2}\times 192\\m\angle ABC = 96\°[/tex]
Therefore, the measure of angle ∠ ABC is 96°
