chapter 6 Constructions and Tilings - Part 6

Why CANNOT Regular Pentagons form a regular tiling by themselves?

Type: MCQ • Marks: 1
Why CANNOT Regular Pentagons form a regular tiling by themselves?
Options
A. Because pentagons have 5 sides.
B. 360° is not evenly divisible by 108° (3 × 108° = 324° and 4 × 108° = 432°).
C. because 180 is greater than 90
D. Because pentagons cannot be drawn with a ruler.
Explanation
Since 360° ÷ 108° = 3.33 (not a whole number), regular pentagons leave gaps or overlap, failing to tile.
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Class 7th Ganita Prakash 2

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