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A regular decagon is rotated in degrees about its center carrying the decagon onto itself. the value of n could be

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3 votes

Answer:


n = 6, 72, 108, 144, 180, 216, 252, 288, 324, 360.....

Explanation:

Given:


Shape: Decagon

Required

Determine the value of n

For a decagon:


Sides = 10


Complete\ Rotation = 360\°

First, we need to determine the angle of each rotation.

This is calculated by dividing the complete rotation with number of sides


Angle = (360)/(10)


Angle = 36

Next, we calculate the possible value of n.

Since there is no option, the general rule is that the possible value of n must be a multiple of angle of each rotation i.e. 36

Hence, n could be either of the following:


n = 6, 72, 108, 144, 180, 216, 252, 288, 324, 360.....

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