Point d is the center of the given circle. what is the measure of arc ac?

∠ABC is an inscribed angle.
In a circle, the measure of an inscribed angle is half the measure of the intercepted arc.  m∠ABC = 48°  ⇒
measure of arc AC = 2*m∠ABC = 2 * 48 = 96°.

ANSWER



EXPLANATION

The measure of angle ABC is 48°.

Angle about the center is twice the angle about the edge.

The measure of angle ADC is twice the measure of angle ABC.

This implies that,



We substitute to obtain,



We simplify to get,



Hence the measure of arc AC is 96°.

Therefore the correct answer is option D.