Answer:
The measure of a central angle of a circle that intercepts a 68° arc
Step-by-step explanation:
Recall the inscribed angle theorems:
Measure of central angle = measure of intercepted arc
Measure of inscribed angle = ½(measure of intercepted arc)
Therefore,
The measure of a central angle that intercepts a 68° arc = 68°
Measure of an inscribed angle of a circle that intercepts a 68° arc = ½(68°) = 34°
Therefore, the larger would be:
The measure of a central angle of a circle that intercepts a 68° arc
