To find the measure of each interior and exterior angle of a regular 30-gon, we can use the formula:
- Interior angle = (n - 2) * 180° / n
- Exterior angle = 360° / n
In this case, we have a regular 30-gon, so n = 30.
Let's calculate the measures:
- Interior angle = (30 - 2) * 180° / 30 = 28 * 180° / 30 = 168°
- Exterior angle = 360° / 30 = 12°
Therefore, each interior angle of the regular 30-gon measures 168°, and each exterior angle measures 12°.