Outside the Box Geometry
# In and Out of Circles

Some of the theorems in this chapter will be things you can prove intuitively!

Point \(B\) is the center of the circle below and line segment \( \overline{AC} \) is tangent to that circle.

**What is the measure of angle \(C?\)**

**Hint:** First figure out the measure of angle \(A.\)

What is the combined measure of one orange and one blue angle (as marked below)?

Segment \(\overline{CD}\) is the diameter of the circle below.

True or false?

The green and blue angles are congruent.

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