Which is larger? The measure of a central angle of a circle that intercepts a 68 degree arc of the measure of an inscribed angle of a circle that intercepts a 68 degree arc. Explain

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

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.