Regular Polygons: Level 1 Challenges Practice Problems Online

|| Regular \(n\)-gon || Internal Angle Sum || || 3 || 180 || || 4 || 360 || || 5 || 540 || || 6 || 720 ||

Given the pattern seen in this table, which of the following accurately represents the internal angle sum in terms of \( n \)?

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If \(FGHIJ\) is a regular pentagon, find \[\angle A + \angle B + \angle C + \angle D + \angle E \ .\]

Details: A regular pentagon is a pentagon with 5 sides of equal length and 5 corner angles of equal measure.

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What is the area of the red region if the blue region is 5?

Note: The hexagon is regular.

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Which of the following is the ratio between the interior angle of a 24 sided regular polygon to the interior angle of a 12 sided regular polygon?

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Consider that in the above image the triangle is right angled and the octagon is regular. Then find \(x\) in degrees.

Regular Polygons