49. A road sign is in the shape of a regular decagon. What is the measure of each angle on the sign? Round to the nearest tenth.
(1 point)
1,440°
144°
72°
216°

Respuesta :

There is a formula to determine the size of each interior angle of the polygon with sides n.

[tex]Angle = (n-2)( \frac{180}{n} )[/tex]

A decagon is a polygon with 10 sides. So, we substitute n with 10.

[tex]Angle = (10-2)( \frac{180}{10} )[/tex]

Angle = 144 degrees

Thus, the each angle of the sign's side is 144 degrees.

I hope I was able to explain it clearly. Have a good day.

Answer:

144

Step-by-step explanation:

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