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siyoenii

Answer:

x= 105°

Step-by-step explanation:

one interior angle of a hexagon is=120°

one interior angle of an octagon is=135° 360-255= 105

akposevictor

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°.

Learn more about regular polygons on:

https://brainly.com/question/1592456

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