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AleksandrR [38]
3 years ago
11

I am confused please help

Mathematics
1 answer:
Otrada [13]3 years ago
8 0

Answer:

3 tiles will not fit together.

Step-by-step explanation:

Measure of an Interior angle of a polygon = \frac{(n-2)\times 180}{n}

Here, n = number of sides of the polygon

Therefore, measure of the interior angles of a regular hexagon,

A = \frac{(6-2)\times 180}{6}

A = 120°

Similarly, interior angle of the regular pentagon,

B = \frac{(5-2)\times 180}{5}

B = 108°

Now m∠A + m∠B + m∠C = 360°

m∠C = 360° - (120° + 108°)

        = 132°

To fit the given three tiles perfectly, interior angle (∠D) of the third Octagonal tile should be 132°.

D = \frac{(8-2)\times 180}{8}

D = 135°

m∠C ≠ m∠D

Therefore, 3 tiles will not fit together.

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