Can one Regular Dodecagon (150°) and two Equilateral Triangles (60° + 60°) meet at a vertex to tile?

Type: MCQ • Marks: 1

A. No, dodecagons do not exist.

B. Yes, because 270 is a nice number.

C. No, because 150° + 60° + 60° = 270° ≠ 360°.

D. Yes, it completes a circle.

Explanation

150° + 60° + 60° = 270°, which leaves a 90° gap (needs a square, forming a 3.12.12 or 4.6.12 semi-regular vertex).

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Class 7th Ganita Prakash 2

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