Question

Is the diameter in the circle O, find the arc given ∠ = 50°

Answer 1

1) The arc AC has a measure that is supplementary of the measure of arc BC.

The measure of arc BC is 50°.

Then, we can calculate the measure of arc AC as:

`\begin{gathered} m\overarc{AC}+m\overarc{BC}=180\degree \\ m\overarc{AC}+50\degree=180\degree \\ m\overarc{AC}=180-50 \\ m\overarc{AC}=130\degree \end{gathered}`

Answer: the measure of arc AC is 130°