# What is the measure of an interior angle of a 21-gon? (Round to the nearest Hundreth)?

162.86

Finding the exterior angle of a regular polygon involves dividing its total number of sides by 360. The interior angle is then found by subtracting this result from 180.

= 162.857142

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To find the measure of an interior angle of a polygon, you can use the formula:

Interior angle = (180 * (n - 2)) / n

Where 'n' represents the number of sides of the polygon.

For a 21-gon, substitute 'n' with 21:

Interior angle = (180 * (21 - 2)) / 21

Interior angle ≈ (180 * 19) / 21

Interior angle ≈ 162.857 degrees

Rounded to the nearest hundredth, the measure of an interior angle of a 21-gon is approximately 162.86 degrees.

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