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Find the central angle of a regular pentagon: _____ degrees

User Curveball
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Final answer:

The central angle of a regular pentagon is 108 degrees.

Step-by-step explanation:

A regular pentagon is a polygon with five equal sides and five equal angles.

To find the central angle of a regular pentagon, we need to divide the total interior angle measure by the number of sides.

In a regular pentagon, the interior angle measure is given by the formula:

Interior Angle Measure = (n-2) * 180° / n,

where n is the number of sides. Substituting n = 5, we get:

Interior Angle Measure = (5-2) * 180° / 5 = 108°.

Therefore, the central angle of a regular pentagon is

108 degrees

User Zizoo
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