Question

In the diagram below, measure of arcABC = 230º.


What is the measure of

Answer 1

65°

Explanation:

Short arc AC is the difference between 360° and long arc ABC:

arc AC = 360° -230° = 130°

The inscribed angle ABC that intercepts this short arc will have half the measure of the arc:

∠ABC = 130°/2 = 65°