Question

If minor arc AC = 96, what is the measure of ZABC?
72

Answer 1

84°

Explanation:

Assume that Z is the center of the circle.

Given that the minor arch AC=96°, we can find the major arc using the formula:

#We know that the arc subtends a total of 180°

Therefore if the minor arc subtends 96°, then ZABC will subtend:

`ZABC=180\textdegree - \arc AC\\\\=180\textdegree -96\textdegree\\\\=84\textdegree`

Hence, the measure of ZABC is 84°