Question

If the measure of arc AC is 160°, what is the measure of angle ABC?

A. 80°

B. 40°

C. 60°

D. 20°

Answer 1

the answer to the problem is d.20

Answer 2

∠ABC = 80°

A is correct.

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 = (1)/(2)arc(AC)`

where, arc AC = 160°

`\angle ABC = (1)/(2)* 160^\circ`

`\angle ABC = 80^\circ`

Hence, the measure of ∠ABC is 80°