Question

I HAVE NO IDEA HOW GO DO THIS!! PLEASE HELP!!
If measure of arc AXC = 260, what is m< ABC

Answer 1

130°

Explanation:

Since there are 360 degrees is a circle, measure of AXC = 260 means the measure of Arc AC is:

360 - 260 = 100

Now if we were to draw 2 lines, one from A to X and another from C to X, we would have an intercepted angle at X originating from AC.

The theorem is when the intercepted angle is at the opposite side of the circumference, the angle is HALF THAT OF THE ARC.

So, half of 100 is 50.

Angle X and Angle B add up to 180, hence Angle ABC is 180 - 50 = 130