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Which angle of rotation would carry a regular decagon onto itself?

A. 252°
B. 45°
C. 150°
D. 60°

Sagot :

GinnyAnswer
A regular decagon is a ten-sided polygon. To determine the smallest angle of rotation that would map the decagon onto itself, you need to divide 360 degrees by the number of sides.

1. A full rotation around a circle is 360 degrees.
2. Because the decagon has 10 sides, the angle required to rotate the decagon onto itself is [tex]\( \frac{360°}{10} \)[/tex].

Performing this division, we get:

[tex]\[ \frac{360°}{10} = 36° \][/tex]

So, the angle of rotation that would carry a regular decagon onto itself is 36°.

Given the choices:
- 252°
- 45°
- 150°
- 60°

None of these angles are correct based on the solutions provided. The correct answer, 36°, is unfortunately not listed among the choices.
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