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3 years ago

PLEASE HELP!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

brilliants [131]3 years ago

8 0

9514 1404 393

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.

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General Formulas and Concepts:

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