Find the inner corner of a regular octagon.

univerkov | February 23, 2021 | education

Find: α.
Decision:
The angle of a regular n-gon is calculated by the formula α = 180 ° * (n – 2) / n, where n is the number of angles of a regular n-gon. Since we are talking about an octagon, then n = 8. We have:
α = 180 ° * (8 – 2) / 8 = 180 ° * 6/8 = 135 °.
Answer: α = 135 °.

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