Verified Answer :

the answer to the problem is d.20

Answer:

∠ABC = 80°

A is correct.

Step-by-step explanation:

If the measure of arc AC is 160°.

Angle subtended on circle is half the angle subtended at center on same arc.

Please refer the attachment for figure.

Therefore, \(\angle ABC = \dfrac{1}{2}arc(AC)\)

where, arc AC = 160°

\(\angle ABC = \dfrac{1}{2}\times 160^\circ\)

\(\angle ABC = 80^\circ\)

Hence, the measure of ∠ABC is 80°

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