A regular octagon is shown below. Suppose that the octagon is rotated clockwise about its center so that the vertex at Y is moved to 7. How many degrees
does the octagon rotate?

A regular octagon is shown below Suppose that the octagon is rotated clockwise about its center so that the vertex at Y is moved to 7 How many degrees does the class=

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Answer:

I believe it says the vertex at Y is moved to T:

the angle of each side changes by 360 / 8 = 45 at each vertex

If 3 vertices separate Y and T the the total rotation would be

3 * 45 = 135 deg

The octagon rotated 135 degree.

What is an Octagon?

An octagon is a polygon with eight sides.

The total angle at the center is 360 degree and for a regular octagon, the angle made by each side is equal to 360/8 = 45 degree.

The octagon STUVWXYZ is rotated clockwise such that, the vertex Y moves to T.

Movement of Y to T is moving 3 steps clockwise

= 45* 3

= 135 degree

To know more about Octagon

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