The measure of ∠abc is 46°. what is the measure of its intercepted arc ac? 46° 92° 144.44° 23° you!

The angle ABC is an inscribed angle in a circle.

So, you can use the theorem that says that the measure of an inscribed angle in a circle is half the central angle.

So, the central angle is twice 46°, that is 2 * 46° = 92°.

And you also need to know that the measure of the arc is the same measure of the central angle. So the arc AC measures 92°.

92°