Question

For my Geometry Class, my teacher uploaded a PowerPoint presentation including notes from our previous class. Unfortunately, she forgot to show the solution to the question included in the attachment provided. How would I go about solving this example question?

Answer 1

Answer: x = 100°

In circles that have circumscribed angles like the example, the measure of angle B plus the measure of angle O would result to 180

`\begin{gathered} x=m\angle O=180\degree-m\angle B \\ x=m\angle O=180\degree-80\degree \\ x=m\angle O=100\degree \\ x=100\degree \end{gathered}`

Therefore, x = 100°