Question

What is the measure of AC?

Answer 1

it's twice the measure of < B when it's on the circle like that.


2 * 58° = 116°

Answer 2

B.
`116^o`

Explanation:

We have been given an image of a circle and we are asked to find the measure of arc AC.

We can see that angle ABC is inscribed angle intercepting to arc AC.

Since we know that the measure of intercepted arc of a circle is twice the measure of the inscribed angle.

`\text{Measure of arc AC}=2* \text{The measure of inscribed }\angle ABC`

Upon substituting our given values in above formula we will get,

`\text{Measure of arc AC}=2* 58^o`

`\text{Measure of arc AC}=116^o`

Therefore, the measure of arc AC is 116 degrees and option B is the correct choice.