Question

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

Answer 1

Answer:

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

Step-by-step 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

$Angle = \frac{360}{10}$

$Angle = 36$

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:

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