Question

Referring to the figure, find the unknown measure of arc AC.

Answer 1

In the figure, the given angle ABC is an inscribed angle.

The measure of the intercepted arc AC is twice the measure of the inscribed angle ABC, then:

`\begin{gathered} \text{m}\hat{\text{AC}}=2\cdot m\angle ABC \\ \text{m}\hat{\text{AC}}=2\cdot65 \\ \text{m}\hat{\text{AC}}=130 \end{gathered}`

Answer: the measure of arc AC is 130