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9 grade maths

How many right angles are in a regular pentagon?

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11 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer11 Months ago

A regular pentagon, which has five equal sides and five equal angles, does not contain any right angles. Each interior angle of a regular pentagon measures 108 degrees.

Understanding Angles in a Pentagon

To grasp why there are no right angles, consider the following:

  • A right angle measures 90 degrees.
  • The formula for finding the interior angle of a regular polygon is: (n - 2) × 180° / n, where n is the number of sides.
  • For a pentagon, this calculation is: (5 - 2) × 180° / 5 = 108°.

Summary

In summary, a regular pentagon has five angles, each measuring 108 degrees, and thus contains no right angles at all.