The size of the angle between the two regular polygons, marked x, is: 105°.
Interior Angle of a Regular Polygon
- An interior angle of a regular polygon = [(n - 2)180]/n.
- Octagon has 8 sides, while hexagon has 6 sides.
Thus,
x° = 360 - sum of one interior angle of the regular octagon and hexagon.
One interior angle of octagon = [(8 - 2)180]/8 = 135°
One interior angle of hexagon= [(6 - 2)180]/6 = 120°
x° = 360° - 135° - 120°
x° = 105°
Therefore, the size of the angle between the two regular polygons, marked x, is: 105°.
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