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Serggg [28]
2 years ago
10

If each interior angle of a regular polygon measures 180° how many sides does it have

Mathematics
1 answer:
Ne4ueva [31]2 years ago
8 0

Answer:

This is impossible.

Step-by-step explanation:

The interior angle of a regular polygon is equal to

\frac{180(n   -  2)}{n}

where n is the number of sides.

Setting this equal to 180°,

\frac{180(n   -  2)}{n}  = 180 \\  \\  \frac{n - 2}{n}  = 1 \\  \\ n = n - 2 \\  \\ 0 =  - 2

which is false.

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