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In a regular hexagon, each angle is equal to:
  • a)
    108°
  • b)
    120°
  • c)
    135°
  • d)
    150°
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In a regular hexagon, each angle is equal to:a)108°b)120°c)135°d)150°C...
Understanding the Regular Hexagon
A regular hexagon is a six-sided polygon where all sides and angles are equal. To find the measure of each interior angle, we can use a simple formula.
Formula for Interior Angles
- The formula to calculate the sum of the interior angles of a polygon is:
(n - 2) × 180°,
where "n" is the number of sides.
- For a hexagon, n = 6, so:
(6 - 2) × 180° = 4 × 180° = 720°.
Calculating Each Interior Angle
- Since all angles in a regular hexagon are equal, we divide the total sum by the number of angles (which is the same as the number of sides):
720° ÷ 6 = 120°.
Conclusion
- Therefore, each interior angle of a regular hexagon measures 120°.
- This is why the correct answer is option 'B'.
Key Points
- Regular hexagon: Six equal sides and angles.
- Formula for interior angles: (n - 2) × 180°.
- Total interior angles for a hexagon: 720°.
- Each angle: 720° ÷ 6 = 120°.
This understanding is essential for solving problems related to polygons in geometry.
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Community Answer
In a regular hexagon, each angle is equal to:a)108°b)120°c)135°d)150°C...
In a regular hexagon, all six internal angles are equal. Each internal angle in a regular hexagon measures 120°, due to the symmetry and equal side lengths of this shape.
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