Geometry
# Regular Polygons

Regular $n$-gon | Internal Angle Sum |

3 | 180 |

4 | 360 |

5 | 540 |

6 | 720 |

Given the pattern seen in this table, which of the following accurately represents the internal angle sum in terms of $n$?

If $FGHIJ$ is a regular pentagon, find $\angle A + \angle B + \angle C + \angle D + \angle E \ .$

**Details:** A regular pentagon is a pentagon with 5 sides of equal length and 5 corner angles of equal measure.

What is the area of the red region if the area of the blue region is 5?

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**Note:** The hexagon is regular.