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The MAXIMUM possible measure of an exterior angle of a regular polygon is:
A120° (for a triangle)
B90° (for a square)
C60° (for a hexagon)
D30° (for a 12-gon)
Answer & Solution
Correct answer: A. 120° (for a triangle)
In a regular polygon, each exterior angle = 360° / n. The fewer the sides, the larger each exterior angle. The smallest regular polygon is the equilateral triangle (n = 3), with each exterior angle = 360°/3 = 120°. This is the maximum possible value. Correspondingly, the MINIMUM possible interior angle of a regular polygon is 180° − 120° = 60°.
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