Question

If arc AC = 44 and arc BD = 68, what is the angle measure of <P?*
​

Answer 1

Answer: s = 180 °

Explanation:

Arc AC has that many degrees. If the angle is ABC, where B is also on the circle, this is called an inscribed angle, with vertex (its”point”) at B. Now, arc AC will have exactly twice the degree measure of angle ABC. That is a theorem in geometry textbooks, which has been known for about 2500 years!