2016 · Q79
Consider the following statements :
- 1There exists a regular polygon whose exterior angle is 70°.
- 2Letn ≥ 5. Then the exterior angle of any regular polygon of n sides is acute.
Which of the above statements is/are correct?
Elementary MathematicsQuadrilaterals and Polygons
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
An exterior angle of 70° would need 360/70 sides — not an integer — so statement 1 is false. For n ≥ 5 the exterior angle 360°/n ≤ 72° < 90°, always acute — statement 2 true. Hence 2 only, option B.