chapter 6 Constructions and Tilings - Part 7

Can a Regular Decagon (interior angle 144°) form a regular monohedral tiling?

Type: MCQ • Marks: 1
Can a Regular Decagon (interior angle 144°) form a regular monohedral tiling?
Options
A. Yes, 10 decagons fit around a point.
B. Yes, because 144 is an even number.
C. No, because 360° is not divisible by 144° (360 / 144 = 2.5).
D. No, decagons have no straight sides.
Explanation
360 / 144 = 2.5 (not an integer), so decagons cannot fill a vertex without gaps/overlaps.
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Class 7th Ganita Prakash 2

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