Question

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°

Answer 1

144

Explanation:

Just finished my exam

Answer 2

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


`Angle = (n-2)( (180)/(n) )`

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


`Angle = (10-2)( (180)/(10) )`

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.