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Answer:
the sum of the interior angles is not 360°
Step-by-step explanation:
In order for the tiles to fit as shown, the sum of their interior angles must be 360°. Each n-sided figure has an interior angle sum of ...
180° - 360°/n
Then the sum of interior angles of 5-, 6-, and 8-sided figures will be ...
(180° -360°/5) +(180° -360°/6) +(180° -360°/8) = 540° -360°(1/5 +1/6 +1/8)
= 540° -360°(59/120) = 363° ≠ 360°
The angle sum is incorrect, so the tiles will overlap or leave a gap. They will not fit together perfectly.
