A regular pentagon is a five-sided polygon with all equal sides and angles. The sum of the interior angles of any polygon can be found using the formula (n-2) * 180, where n is the number of sides.

Step 1: Substitute the number of sides into the formula. For a pentagon, n = 5. So, (5-2) * 180 = 3 * 180 = 540 degrees.

Step 2: Since a regular pentagon has all equal angles, divide the total sum of the interior angles by the number of sides. So, 540 degrees / 5 = 108 degrees.

Therefore, each angle in a regular pentagon measures 108 degrees.

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A regular pentagon is a five-sided polygon with all equal sides and angles. The sum of the interior angles of any polygon can be found using the formula (n-2) * 180, where n is the number of sides.

Step 1: Substitute the number of sides into the formula. For a pentagon, n = 5. So, (5-2) * 180 = 3 * 180 = 540 degrees.

Step 2: Since a regular pentagon has all equal angles, divide the total sum of the interior angles by the number of sides. So, 540 degrees / 5 = 108 degrees.

Therefore, each angle in a regular pentagon measures 108 degrees.

Knowee AI · Accepted Answer

A regular pentagon is a five-sided polygon with all equal sides and angles. The sum of the interior angles of any polygon can be found using the formula (n-2) * 180, where n is the number of sides.

Step 1: Substitute the number of sides into the formula. For a pentagon, n = 5. So, (5-2) * 180 = 3 * 180 = 540 degrees.

Step 2: Since a regular pentagon has all equal angles, divide the total sum of the interior angles by the number of sides. So, 540 degrees / 5 = 108 degrees.

Therefore, each angle in a regular pentagon measures 108 degrees.

What is the measure of each angle in a regular pentagon?

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