2022 · Q1
What is the ratio of interior angle to exterior angle of a regular polygon of n sides?
Elementary MathematicsQuadrilaterals and Polygons
- An
- B(n - 1)/2
- C(n - 2)/2
- D2(n - 2)/3
Explanation
For a regular n-gon, each interior angle is (n-2)x180°/n and each exterior angle is 360°/n. Their ratio is [(n-2)x180°/n] / [360°/n] = (n-2)/2. The common error is to use the sum of interior angles instead of a single angle. Hence the keyed option is C.