# More Nonagon Wonders (GoGeometry Action 176!)

Creation of this resource was inspired by a problem posted by Antonio Gutierrez (GoGeometry).
You can move the

**LARGE WHITE POINTS**anywhere you'd like at any time. Note: the**pink point**INSIDE this polygon is the center of the (soon-to-appear) circle. After interacting with this applet for a few minutes, please answer the questions that follow.## 1.

What is the measure of the **pink angle**? Explain how the applet suggests this is true.

## 2.

How can we prove the measure of the **pink angle **IS what it is?

## 3.

How can we formally prove the angle on the right side also has a measure equal to the measure of the **pink angle**?