A regular polygon has 12 lines of symmetry. How many sides does it have, and what is the size of each interior angle?
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Worked Solution
Step 1: A regular n-sided polygon has exactly n lines of symmetry, so n = 12.
Step 2: Interior angle of a regular n-gon = (n − 2) × 180° ÷ n.
Step 3: For n = 12: (10 × 180°) ÷ 12 = 1800° ÷ 12 = 150°.
Answer: 12 sides, 150°
Correct answer: 12 sides, 150°
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