113k views
3 votes
Move point c so the measure of arc ac is 50 what is the measure of abc?

2 Answers

3 votes

Answer: 100,25,arc AC,yes and 2

Step-by-step explanation:

I did it and its RIGHTTT :)

User Santiago Vanegas
by
4.4k points
2 votes

Answer:

  • 25º

Step-by-step explanation:

Find picture attached with the complete question, including the figure.

The measure of the arc AC in degrees is equal to the measure of the central angle that forms it.

The angle ABC, formed by two chords that intersect at the point B on the circle, is named inscribed angle.

It is demonstrated that the measure of the inscribed angle is half the measure of the central angle.

Thus, the measure of angle ABC is half the measure of arc AC.

  • m∠ABC = (1/2) m arc AC

Thus, for m arc AC = 50º, you get:

  • m∠ABC = (1/2)50º = 25º← answer
Move point c so the measure of arc ac is 50 what is the measure of abc?-example-1
User Eugene Tartakovsky
by
4.5k points