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Find the measure of an angle in a regular polygon with 28 sides. [?] degrees Round to the nearest whole number.
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25 votes
Find the measure of an angle

in a regular polygon with 28
sides.
[?] degrees
Round to the nearest whole number.

User Fati
by
3.2k points

1 Answer

7 votes

Answer:

167ยบ

Explanation:

The interior angles in an n-gon add up to 180(n-2). So, the interior angles in a 28-gon add up to 180(28-2)=180(26)=4680. To find out the measure of one angle divide 4680 by 29. 4680/28 is about 167.

User Jayakrishnan
by
3.1k points
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