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4 votes
4 votes
Each internal angle of regular n sided polygon in 162 find n

User Yashdeep Patel
by
2.7k points

1 Answer

5 votes
5 votes

Answer:

n = 20

Explanation:

in a polygon

interior angle + exterior angle = 180°, so

162° + exterior angle = 180° ( subtract 162° from both sides )

exterior angle = 18°

the sum of the exterior angles of a polygon = 360°

since the polygon is regular then each exterior angle is congruent, then

n = 360° ÷ 18° = 20

User Eofster
by
2.6k points
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