Respuesta :

Banabanana
∠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°.
kudzordzifrancis
ANSWER

[tex]D. \: \: 96\degree[/tex]

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,

[tex]m \: < \: ADC=2(m \: < \: ABC)[/tex]

We substitute to obtain,

[tex]m \: < \: ADC=2(48 \degree)[/tex]

We simplify to get,

[tex]m \: < \: ADC=96 \degree[/tex]

Hence the measure of arc AC is 96°.

Therefore the correct answer is option D.

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