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These three quizzes introduce geometry through interesting topics and challenging puzzles. This Exploration contains many of each of these types of problems:

**The Good**: enjoyable problems that introduce you to essential skills**The Badass**: going beyond the essential skills to master more challenging techniques and proofs**The Beautiful**: diving deeply into areas of geometry where the elegance and beauty speaks for itself

What is the measure of the pink angle \(\angle DAE?\)

Note that \(\overline{BC}\) and \(\overline{DE}\) are parallel.

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What is the measure of the green angle, \(\angle A?\)

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Angle hunting techniques will sometimes jump out at you and seem obvious. Other times, it might not be clear how to start.

**Find the measure of the red angle.**

Hint: Shifting a line (without rotating it) doesn’t change the angle of its intersection with other lines.

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What can we say about the base angles of any isosceles triangle?

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