The internal angle at each vertex of a regular octagon is?
- 145°
- 125°
- 135°
- None of these
Explanation
The sum of the internal angles of a polygon can be found using the formula:
(n-2) × 180°
where n is the number of sides.
For a regular octagon (8 sides):
(8-2) × 180° = 6 × 180° = 1080°
Since it's a regular octagon, all internal angles are equal. To find the measure of each internal angle, divide the total sum by the number of angles:
1080° ÷ 8 = 135°
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