The angle of a regular n-gon is 160. Find n?
| August 16, 2021 | education
There are two ways to solve this problem, let’s consider both:
Method 1:
The sum of the angles in a regular n-gon is calculated by the formula:
180 ° * (n-2), hence
160n = 180 ° * (n-2)
160n = 180n – 360 °
20n = 360 °
n = 360 ° / 20 °
n = 18
Method 2:
Find the outer corner of the n-gon:
180 ° – 160 ° = 20 °
n = 360 ° / 20 °
n = 18
Answer: n = 18.
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