alleryIs it possible to have a regular polygon in which EACH EXTERIOR angle is 22°?
AYes, with 16 sides
BYes, with 18 sides
CNo, because 360° is not divisible by 22°
DYes, with 22 sides
Answer & Solution
Correct answer: C. No, because 360° is not divisible by 22°
For a regular polygon, 360° must divide evenly by the exterior angle, giving a whole number of sides.
360 ÷ 22 ≈ 16.36 — not an integer.
**So no regular polygon has exterior angle exactly 22°.**
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