SarkariPYQ

SSC CGL 2025 PYQ — Question 69

SSC CGL - 24 Sep 2025 - Shift 1 • Quantitative Aptitude • Q69

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What is the ratio of the interior angle of a regular hexagon to the interior angle of a regular 12-sided polygon (dodecagon)?

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 4 : 5.

Interior angle of a regular polygon with n sides =(n−2)×180n= \frac{(n-2) \times 180}{n}

Interior angle of a regular hexagon =(6−2)×1806=4×1806=7206=120∘=\frac{(6-2) \times 180}{6} = \frac{4 \times 180}{6} = \frac{720}{6} = 120^\circ

Interior angle of a regular dodecagon =(12−2)×18012=10×18012=180012=150∘=\frac{(12-2) \times 180}{12} = \frac{10 \times 180}{12} = \frac{1800}{12} = 150^\circ

Ratio (Hexagon : Dodecagon) = 120 : 150 = 4 : 5