Question

In the circle, what is the measure of ZACB? 60° 20° 80 40°

Answer 1

The given problem is an example of an "inscribed angle"

The inscribed angle ∠ACB is half of the intercepted arc AB

`\angle ACB=(1)/(2)\text{mAB}`

The intercepted arc AB is 40°

So, the inscribed angle ∠ACB becomes

`\begin{gathered} \angle ACB=(1)/(2)(40\degree) \\ \angle ACB=20\degree \end{gathered}`

Therefore, the measure of ∠ACB is 20°