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# In and Out of Circles

Shapes and angles inscribed and circumscribed.

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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 vaule of $$x + y \,?$$

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

True or false?

The green and blue angles are congruent.

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