Find the measures of an exterior angle and an interior angle given a regular polygon with 13 sides. Round to the nearest tenth, if necessary.
Question
Find the measures of an exterior angle and an interior angle given a regular polygon with 13 sides. Round to the nearest tenth, if necessary.
Solution
To find the measures of an exterior angle and an interior angle of a regular polygon, we use the following formulas:
- Exterior Angle = 360° / n
- Interior Angle = (n-2) * 180° / n
where n is the number of sides of the polygon.
Given a regular polygon with 13 sides:
- The measure of each exterior angle is 360° / 13 ≈ 27.7° (rounded to the nearest tenth).
- The measure of each interior angle is (13-2) * 180° / 13 ≈ 152.3° (rounded to the nearest tenth).
Similar Questions
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The measure of an interior angle of a regular polygon is 156°. Find the number of sides in the polygon.
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